How do I construct an nxn matrix?
I'm trying to create a large nxn matrix but I am unable to find a technique which will make it easier rather than doing it manually, any ideas?
matrices
New contributor
add a comment |
I'm trying to create a large nxn matrix but I am unable to find a technique which will make it easier rather than doing it manually, any ideas?
matrices
New contributor
If the data is stored in a file, you can use pgfplotstable or csvsimple to format it. OTOH, pgfplotstable can be a pain to customize. For examplecolumns/name/.style={...}
is used a lot.
– John Kormylo
23 hours ago
add a comment |
I'm trying to create a large nxn matrix but I am unable to find a technique which will make it easier rather than doing it manually, any ideas?
matrices
New contributor
I'm trying to create a large nxn matrix but I am unable to find a technique which will make it easier rather than doing it manually, any ideas?
matrices
matrices
New contributor
New contributor
edited yesterday
Bernard
172k776204
172k776204
New contributor
asked yesterday
johnjohn
413
413
New contributor
New contributor
If the data is stored in a file, you can use pgfplotstable or csvsimple to format it. OTOH, pgfplotstable can be a pain to customize. For examplecolumns/name/.style={...}
is used a lot.
– John Kormylo
23 hours ago
add a comment |
If the data is stored in a file, you can use pgfplotstable or csvsimple to format it. OTOH, pgfplotstable can be a pain to customize. For examplecolumns/name/.style={...}
is used a lot.
– John Kormylo
23 hours ago
If the data is stored in a file, you can use pgfplotstable or csvsimple to format it. OTOH, pgfplotstable can be a pain to customize. For example
columns/name/.style={...}
is used a lot.– John Kormylo
23 hours ago
If the data is stored in a file, you can use pgfplotstable or csvsimple to format it. OTOH, pgfplotstable can be a pain to customize. For example
columns/name/.style={...}
is used a lot.– John Kormylo
23 hours ago
add a comment |
4 Answers
4
active
oldest
votes
This prints a random matrix with the specified size.
The keys are size
(mandatory), lb
for the lower bound on the random integers (default 0), ub
for the upper bound on the random integers (default 20).
documentclass{article}
usepackage{amsmath}
usepackage{xparse}
ExplSyntaxOn
NewDocumentCommand{bigmatrix}{m}
{
group_begin:
keys_set:nn { john/bigmatrix } { #1 }
john_bigmatrix:
group_end:
}
tl_new:N l__john_bigmatrix_tl
keys_define:nn { john/bigmatrix }
{
size .int_set:N = l__john_bigmatrix_size_int,
lb .int_set:N = l__john_bigmatrix_lb_int,
ub .int_set:N = l__john_bigmatrix_ub_int,
lb .initial:n = 0,
ub .initial:n = 20,
}
cs_new_protected:Nn john_bigmatrix:
{
int_compare:nT { l__john_bigmatrix_size_int > value{MaxMatrixCols} }
{
setcounter{MaxMatrixCols}{l__john_bigmatrix_size_int}
}
int_step_function:nN { l__john_bigmatrix_size_int } __john_bigmatrix_row:n
begin{bmatrix}
l__john_bigmatrix_tl
end{bmatrix}
}
cs_new_protected:Nn __john_bigmatrix_row:n
{
tl_put_right:Nx l__john_bigmatrix_tl
{
int_rand:nn { l__john_bigmatrix_lb_int } { l__john_bigmatrix_ub_int }
}
prg_replicate:nn { l__john_bigmatrix_size_int - 1 }
{
tl_put_right:Nx l__john_bigmatrix_tl
{
&
int_rand:nn { l__john_bigmatrix_lb_int } { l__john_bigmatrix_ub_int }
}
}
tl_put_right:Nn l__john_bigmatrix_tl { \ }
}
ExplSyntaxOff
begin{document}
$bigmatrix{size=5}$ $bigmatrix{size=6,lb=-12,ub=12}$
bigskip
$bigmatrix{size=15,ub=50}$
end{document}
add a comment |
Use Mathematica for example,
IdentityMatrix[10] // TeXForm
And copy the output for LaTeX as follows.
documentclass[border=12pt,12pt]{standalone}
usepackage{amsmath}
begin{document}
$A=
begin{pmatrix}
1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \
0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \
0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \
0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \
end{pmatrix}
$
end{document}
Note that: LaTeX generates some errors for n x n matrices with n>10.
– The Inventor of God
yesterday
add a comment |
Use the computer algebra system Sage along with the sagetex
package. First, here is the code:
documentclass{article}
usepackage{sagetex}
begin{document}
begin{sagesilent}
latex.matrix_delimiters(left='[', right=']')
A = Matrix([[0,-1,-1],[-1,-1,0],[-1,0,1],[1,0,0],[0,0,-1],[-1,2,1]])
B = Matrix.identity(4)
C = random_matrix(ZZ,4,3)
D = random_matrix(QQ,3,4)
end{sagesilent}
The matrix $A=sage{A}$ was input by hand. The matrix $B=sage{B}$ is defined in Sage.
The matrix $C=sage{C}$ is $4 times 4$ matrix consisting of integers determined
at random. The matrix $D=sage{D}$ is a $3 times 4$ matrix consisting of rational
numbers determined randomly.
Computing $C cdot D= sage{C*D}$ is easy. You can compute use Sage to test if
matrices are singular or nonsingular and even calculate their inverses.
Sage will take care of the calculations but
you'll have to spend time making the output look a little nicer.
end{document}
Next, here is the output. Since some of my matrix constructions are random, it should look different than your run of the same code.
Finally, the basic construction is C = random_matrix(ZZ,4,3) where
- C is the matrix you're defining
- 4 is the number of rows
- 3 is the number of columns
- ZZ is for entries to be integers, QQ for rational, RR for real, CC for complex. You can also work with finite fields. See the documentation.
Note that I've shown how matrix A can be defined by you, entry by entry while B shows how Sage will create the 4x4 identity matrix for you. After you have your matrices set up, Sage will do the calculations as well. This prevents careless mistakes from creeping into your document. Sage isn't part of the LaTeX distribution but you can access it online with a free Cocalc account here. It is possible to install Sage on your computer so you don't need Cocalc. That is more difficult to get up and running. Some important documentation for working with matrices in SAGE is here, here, here, and here. Sage has no problem with big matrices but displaying them on the page becomes problematic. Using usepackage{fullpage} in your code can free up space so that I print a 20 by 20 matrix.
Sorry. I have not tried it yet, can sagetex produce.tex
(instead of.pdf
) file that can be rendered by MathJaX on web browsers?
– The Inventor of God
8 hours ago
1
This is outside of my knowledge. However, this page from the Sagemath site mentions MathJax as follows "The eval function of this class converts a Sage object to its LaTeX representation and then wraps it in HTML that invokes the CSS “math” class, which then employs MathJax.". So it sounds like it might but I don't know for sure.
– DJP
3 hours ago
No problem. Thank you!
– The Inventor of God
2 hours ago
add a comment |
Matrices of normal random numbers using knitr
:
documentclass{article}
usepackage{amsmath}
<<bmatrix,echo=F>>=
options(digits=2)
bmatrix <- function(matr) {
printmrow <- function(x) {cat(cat(x,sep=" & "),"\\ n")}
cat("\begin{bmatrix}","n")
body <- apply(matr,1,printmrow)
cat("\end{bmatrix}")}
@
begin{document}
[ A =
<<echo=F,results='asis'>>=
bmatrix(round(matrix(rnorm(6), 2 ,3),3))
@
]
[ B =
<<echo=F,results='asis'>>=
bmatrix(round(matrix(abs(rnorm(120)), 12 ,10),1))
@
]
setcounter{MaxMatrixCols}{12}
[ C =
<<echo=F,results='asis'>>=
bmatrix(round(matrix(abs(rnorm(144)), 12 ,12),1))
@
]
end{document}
add a comment |
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4 Answers
4
active
oldest
votes
4 Answers
4
active
oldest
votes
active
oldest
votes
active
oldest
votes
This prints a random matrix with the specified size.
The keys are size
(mandatory), lb
for the lower bound on the random integers (default 0), ub
for the upper bound on the random integers (default 20).
documentclass{article}
usepackage{amsmath}
usepackage{xparse}
ExplSyntaxOn
NewDocumentCommand{bigmatrix}{m}
{
group_begin:
keys_set:nn { john/bigmatrix } { #1 }
john_bigmatrix:
group_end:
}
tl_new:N l__john_bigmatrix_tl
keys_define:nn { john/bigmatrix }
{
size .int_set:N = l__john_bigmatrix_size_int,
lb .int_set:N = l__john_bigmatrix_lb_int,
ub .int_set:N = l__john_bigmatrix_ub_int,
lb .initial:n = 0,
ub .initial:n = 20,
}
cs_new_protected:Nn john_bigmatrix:
{
int_compare:nT { l__john_bigmatrix_size_int > value{MaxMatrixCols} }
{
setcounter{MaxMatrixCols}{l__john_bigmatrix_size_int}
}
int_step_function:nN { l__john_bigmatrix_size_int } __john_bigmatrix_row:n
begin{bmatrix}
l__john_bigmatrix_tl
end{bmatrix}
}
cs_new_protected:Nn __john_bigmatrix_row:n
{
tl_put_right:Nx l__john_bigmatrix_tl
{
int_rand:nn { l__john_bigmatrix_lb_int } { l__john_bigmatrix_ub_int }
}
prg_replicate:nn { l__john_bigmatrix_size_int - 1 }
{
tl_put_right:Nx l__john_bigmatrix_tl
{
&
int_rand:nn { l__john_bigmatrix_lb_int } { l__john_bigmatrix_ub_int }
}
}
tl_put_right:Nn l__john_bigmatrix_tl { \ }
}
ExplSyntaxOff
begin{document}
$bigmatrix{size=5}$ $bigmatrix{size=6,lb=-12,ub=12}$
bigskip
$bigmatrix{size=15,ub=50}$
end{document}
add a comment |
This prints a random matrix with the specified size.
The keys are size
(mandatory), lb
for the lower bound on the random integers (default 0), ub
for the upper bound on the random integers (default 20).
documentclass{article}
usepackage{amsmath}
usepackage{xparse}
ExplSyntaxOn
NewDocumentCommand{bigmatrix}{m}
{
group_begin:
keys_set:nn { john/bigmatrix } { #1 }
john_bigmatrix:
group_end:
}
tl_new:N l__john_bigmatrix_tl
keys_define:nn { john/bigmatrix }
{
size .int_set:N = l__john_bigmatrix_size_int,
lb .int_set:N = l__john_bigmatrix_lb_int,
ub .int_set:N = l__john_bigmatrix_ub_int,
lb .initial:n = 0,
ub .initial:n = 20,
}
cs_new_protected:Nn john_bigmatrix:
{
int_compare:nT { l__john_bigmatrix_size_int > value{MaxMatrixCols} }
{
setcounter{MaxMatrixCols}{l__john_bigmatrix_size_int}
}
int_step_function:nN { l__john_bigmatrix_size_int } __john_bigmatrix_row:n
begin{bmatrix}
l__john_bigmatrix_tl
end{bmatrix}
}
cs_new_protected:Nn __john_bigmatrix_row:n
{
tl_put_right:Nx l__john_bigmatrix_tl
{
int_rand:nn { l__john_bigmatrix_lb_int } { l__john_bigmatrix_ub_int }
}
prg_replicate:nn { l__john_bigmatrix_size_int - 1 }
{
tl_put_right:Nx l__john_bigmatrix_tl
{
&
int_rand:nn { l__john_bigmatrix_lb_int } { l__john_bigmatrix_ub_int }
}
}
tl_put_right:Nn l__john_bigmatrix_tl { \ }
}
ExplSyntaxOff
begin{document}
$bigmatrix{size=5}$ $bigmatrix{size=6,lb=-12,ub=12}$
bigskip
$bigmatrix{size=15,ub=50}$
end{document}
add a comment |
This prints a random matrix with the specified size.
The keys are size
(mandatory), lb
for the lower bound on the random integers (default 0), ub
for the upper bound on the random integers (default 20).
documentclass{article}
usepackage{amsmath}
usepackage{xparse}
ExplSyntaxOn
NewDocumentCommand{bigmatrix}{m}
{
group_begin:
keys_set:nn { john/bigmatrix } { #1 }
john_bigmatrix:
group_end:
}
tl_new:N l__john_bigmatrix_tl
keys_define:nn { john/bigmatrix }
{
size .int_set:N = l__john_bigmatrix_size_int,
lb .int_set:N = l__john_bigmatrix_lb_int,
ub .int_set:N = l__john_bigmatrix_ub_int,
lb .initial:n = 0,
ub .initial:n = 20,
}
cs_new_protected:Nn john_bigmatrix:
{
int_compare:nT { l__john_bigmatrix_size_int > value{MaxMatrixCols} }
{
setcounter{MaxMatrixCols}{l__john_bigmatrix_size_int}
}
int_step_function:nN { l__john_bigmatrix_size_int } __john_bigmatrix_row:n
begin{bmatrix}
l__john_bigmatrix_tl
end{bmatrix}
}
cs_new_protected:Nn __john_bigmatrix_row:n
{
tl_put_right:Nx l__john_bigmatrix_tl
{
int_rand:nn { l__john_bigmatrix_lb_int } { l__john_bigmatrix_ub_int }
}
prg_replicate:nn { l__john_bigmatrix_size_int - 1 }
{
tl_put_right:Nx l__john_bigmatrix_tl
{
&
int_rand:nn { l__john_bigmatrix_lb_int } { l__john_bigmatrix_ub_int }
}
}
tl_put_right:Nn l__john_bigmatrix_tl { \ }
}
ExplSyntaxOff
begin{document}
$bigmatrix{size=5}$ $bigmatrix{size=6,lb=-12,ub=12}$
bigskip
$bigmatrix{size=15,ub=50}$
end{document}
This prints a random matrix with the specified size.
The keys are size
(mandatory), lb
for the lower bound on the random integers (default 0), ub
for the upper bound on the random integers (default 20).
documentclass{article}
usepackage{amsmath}
usepackage{xparse}
ExplSyntaxOn
NewDocumentCommand{bigmatrix}{m}
{
group_begin:
keys_set:nn { john/bigmatrix } { #1 }
john_bigmatrix:
group_end:
}
tl_new:N l__john_bigmatrix_tl
keys_define:nn { john/bigmatrix }
{
size .int_set:N = l__john_bigmatrix_size_int,
lb .int_set:N = l__john_bigmatrix_lb_int,
ub .int_set:N = l__john_bigmatrix_ub_int,
lb .initial:n = 0,
ub .initial:n = 20,
}
cs_new_protected:Nn john_bigmatrix:
{
int_compare:nT { l__john_bigmatrix_size_int > value{MaxMatrixCols} }
{
setcounter{MaxMatrixCols}{l__john_bigmatrix_size_int}
}
int_step_function:nN { l__john_bigmatrix_size_int } __john_bigmatrix_row:n
begin{bmatrix}
l__john_bigmatrix_tl
end{bmatrix}
}
cs_new_protected:Nn __john_bigmatrix_row:n
{
tl_put_right:Nx l__john_bigmatrix_tl
{
int_rand:nn { l__john_bigmatrix_lb_int } { l__john_bigmatrix_ub_int }
}
prg_replicate:nn { l__john_bigmatrix_size_int - 1 }
{
tl_put_right:Nx l__john_bigmatrix_tl
{
&
int_rand:nn { l__john_bigmatrix_lb_int } { l__john_bigmatrix_ub_int }
}
}
tl_put_right:Nn l__john_bigmatrix_tl { \ }
}
ExplSyntaxOff
begin{document}
$bigmatrix{size=5}$ $bigmatrix{size=6,lb=-12,ub=12}$
bigskip
$bigmatrix{size=15,ub=50}$
end{document}
answered 22 hours ago
egregegreg
724k8819173222
724k8819173222
add a comment |
add a comment |
Use Mathematica for example,
IdentityMatrix[10] // TeXForm
And copy the output for LaTeX as follows.
documentclass[border=12pt,12pt]{standalone}
usepackage{amsmath}
begin{document}
$A=
begin{pmatrix}
1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \
0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \
0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \
0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \
end{pmatrix}
$
end{document}
Note that: LaTeX generates some errors for n x n matrices with n>10.
– The Inventor of God
yesterday
add a comment |
Use Mathematica for example,
IdentityMatrix[10] // TeXForm
And copy the output for LaTeX as follows.
documentclass[border=12pt,12pt]{standalone}
usepackage{amsmath}
begin{document}
$A=
begin{pmatrix}
1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \
0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \
0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \
0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \
end{pmatrix}
$
end{document}
Note that: LaTeX generates some errors for n x n matrices with n>10.
– The Inventor of God
yesterday
add a comment |
Use Mathematica for example,
IdentityMatrix[10] // TeXForm
And copy the output for LaTeX as follows.
documentclass[border=12pt,12pt]{standalone}
usepackage{amsmath}
begin{document}
$A=
begin{pmatrix}
1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \
0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \
0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \
0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \
end{pmatrix}
$
end{document}
Use Mathematica for example,
IdentityMatrix[10] // TeXForm
And copy the output for LaTeX as follows.
documentclass[border=12pt,12pt]{standalone}
usepackage{amsmath}
begin{document}
$A=
begin{pmatrix}
1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \
0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \
0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \
0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \
end{pmatrix}
$
end{document}
answered yesterday
The Inventor of GodThe Inventor of God
4,47211041
4,47211041
Note that: LaTeX generates some errors for n x n matrices with n>10.
– The Inventor of God
yesterday
add a comment |
Note that: LaTeX generates some errors for n x n matrices with n>10.
– The Inventor of God
yesterday
Note that: LaTeX generates some errors for n x n matrices with n>10.
– The Inventor of God
yesterday
Note that: LaTeX generates some errors for n x n matrices with n>10.
– The Inventor of God
yesterday
add a comment |
Use the computer algebra system Sage along with the sagetex
package. First, here is the code:
documentclass{article}
usepackage{sagetex}
begin{document}
begin{sagesilent}
latex.matrix_delimiters(left='[', right=']')
A = Matrix([[0,-1,-1],[-1,-1,0],[-1,0,1],[1,0,0],[0,0,-1],[-1,2,1]])
B = Matrix.identity(4)
C = random_matrix(ZZ,4,3)
D = random_matrix(QQ,3,4)
end{sagesilent}
The matrix $A=sage{A}$ was input by hand. The matrix $B=sage{B}$ is defined in Sage.
The matrix $C=sage{C}$ is $4 times 4$ matrix consisting of integers determined
at random. The matrix $D=sage{D}$ is a $3 times 4$ matrix consisting of rational
numbers determined randomly.
Computing $C cdot D= sage{C*D}$ is easy. You can compute use Sage to test if
matrices are singular or nonsingular and even calculate their inverses.
Sage will take care of the calculations but
you'll have to spend time making the output look a little nicer.
end{document}
Next, here is the output. Since some of my matrix constructions are random, it should look different than your run of the same code.
Finally, the basic construction is C = random_matrix(ZZ,4,3) where
- C is the matrix you're defining
- 4 is the number of rows
- 3 is the number of columns
- ZZ is for entries to be integers, QQ for rational, RR for real, CC for complex. You can also work with finite fields. See the documentation.
Note that I've shown how matrix A can be defined by you, entry by entry while B shows how Sage will create the 4x4 identity matrix for you. After you have your matrices set up, Sage will do the calculations as well. This prevents careless mistakes from creeping into your document. Sage isn't part of the LaTeX distribution but you can access it online with a free Cocalc account here. It is possible to install Sage on your computer so you don't need Cocalc. That is more difficult to get up and running. Some important documentation for working with matrices in SAGE is here, here, here, and here. Sage has no problem with big matrices but displaying them on the page becomes problematic. Using usepackage{fullpage} in your code can free up space so that I print a 20 by 20 matrix.
Sorry. I have not tried it yet, can sagetex produce.tex
(instead of.pdf
) file that can be rendered by MathJaX on web browsers?
– The Inventor of God
8 hours ago
1
This is outside of my knowledge. However, this page from the Sagemath site mentions MathJax as follows "The eval function of this class converts a Sage object to its LaTeX representation and then wraps it in HTML that invokes the CSS “math” class, which then employs MathJax.". So it sounds like it might but I don't know for sure.
– DJP
3 hours ago
No problem. Thank you!
– The Inventor of God
2 hours ago
add a comment |
Use the computer algebra system Sage along with the sagetex
package. First, here is the code:
documentclass{article}
usepackage{sagetex}
begin{document}
begin{sagesilent}
latex.matrix_delimiters(left='[', right=']')
A = Matrix([[0,-1,-1],[-1,-1,0],[-1,0,1],[1,0,0],[0,0,-1],[-1,2,1]])
B = Matrix.identity(4)
C = random_matrix(ZZ,4,3)
D = random_matrix(QQ,3,4)
end{sagesilent}
The matrix $A=sage{A}$ was input by hand. The matrix $B=sage{B}$ is defined in Sage.
The matrix $C=sage{C}$ is $4 times 4$ matrix consisting of integers determined
at random. The matrix $D=sage{D}$ is a $3 times 4$ matrix consisting of rational
numbers determined randomly.
Computing $C cdot D= sage{C*D}$ is easy. You can compute use Sage to test if
matrices are singular or nonsingular and even calculate their inverses.
Sage will take care of the calculations but
you'll have to spend time making the output look a little nicer.
end{document}
Next, here is the output. Since some of my matrix constructions are random, it should look different than your run of the same code.
Finally, the basic construction is C = random_matrix(ZZ,4,3) where
- C is the matrix you're defining
- 4 is the number of rows
- 3 is the number of columns
- ZZ is for entries to be integers, QQ for rational, RR for real, CC for complex. You can also work with finite fields. See the documentation.
Note that I've shown how matrix A can be defined by you, entry by entry while B shows how Sage will create the 4x4 identity matrix for you. After you have your matrices set up, Sage will do the calculations as well. This prevents careless mistakes from creeping into your document. Sage isn't part of the LaTeX distribution but you can access it online with a free Cocalc account here. It is possible to install Sage on your computer so you don't need Cocalc. That is more difficult to get up and running. Some important documentation for working with matrices in SAGE is here, here, here, and here. Sage has no problem with big matrices but displaying them on the page becomes problematic. Using usepackage{fullpage} in your code can free up space so that I print a 20 by 20 matrix.
Sorry. I have not tried it yet, can sagetex produce.tex
(instead of.pdf
) file that can be rendered by MathJaX on web browsers?
– The Inventor of God
8 hours ago
1
This is outside of my knowledge. However, this page from the Sagemath site mentions MathJax as follows "The eval function of this class converts a Sage object to its LaTeX representation and then wraps it in HTML that invokes the CSS “math” class, which then employs MathJax.". So it sounds like it might but I don't know for sure.
– DJP
3 hours ago
No problem. Thank you!
– The Inventor of God
2 hours ago
add a comment |
Use the computer algebra system Sage along with the sagetex
package. First, here is the code:
documentclass{article}
usepackage{sagetex}
begin{document}
begin{sagesilent}
latex.matrix_delimiters(left='[', right=']')
A = Matrix([[0,-1,-1],[-1,-1,0],[-1,0,1],[1,0,0],[0,0,-1],[-1,2,1]])
B = Matrix.identity(4)
C = random_matrix(ZZ,4,3)
D = random_matrix(QQ,3,4)
end{sagesilent}
The matrix $A=sage{A}$ was input by hand. The matrix $B=sage{B}$ is defined in Sage.
The matrix $C=sage{C}$ is $4 times 4$ matrix consisting of integers determined
at random. The matrix $D=sage{D}$ is a $3 times 4$ matrix consisting of rational
numbers determined randomly.
Computing $C cdot D= sage{C*D}$ is easy. You can compute use Sage to test if
matrices are singular or nonsingular and even calculate their inverses.
Sage will take care of the calculations but
you'll have to spend time making the output look a little nicer.
end{document}
Next, here is the output. Since some of my matrix constructions are random, it should look different than your run of the same code.
Finally, the basic construction is C = random_matrix(ZZ,4,3) where
- C is the matrix you're defining
- 4 is the number of rows
- 3 is the number of columns
- ZZ is for entries to be integers, QQ for rational, RR for real, CC for complex. You can also work with finite fields. See the documentation.
Note that I've shown how matrix A can be defined by you, entry by entry while B shows how Sage will create the 4x4 identity matrix for you. After you have your matrices set up, Sage will do the calculations as well. This prevents careless mistakes from creeping into your document. Sage isn't part of the LaTeX distribution but you can access it online with a free Cocalc account here. It is possible to install Sage on your computer so you don't need Cocalc. That is more difficult to get up and running. Some important documentation for working with matrices in SAGE is here, here, here, and here. Sage has no problem with big matrices but displaying them on the page becomes problematic. Using usepackage{fullpage} in your code can free up space so that I print a 20 by 20 matrix.
Use the computer algebra system Sage along with the sagetex
package. First, here is the code:
documentclass{article}
usepackage{sagetex}
begin{document}
begin{sagesilent}
latex.matrix_delimiters(left='[', right=']')
A = Matrix([[0,-1,-1],[-1,-1,0],[-1,0,1],[1,0,0],[0,0,-1],[-1,2,1]])
B = Matrix.identity(4)
C = random_matrix(ZZ,4,3)
D = random_matrix(QQ,3,4)
end{sagesilent}
The matrix $A=sage{A}$ was input by hand. The matrix $B=sage{B}$ is defined in Sage.
The matrix $C=sage{C}$ is $4 times 4$ matrix consisting of integers determined
at random. The matrix $D=sage{D}$ is a $3 times 4$ matrix consisting of rational
numbers determined randomly.
Computing $C cdot D= sage{C*D}$ is easy. You can compute use Sage to test if
matrices are singular or nonsingular and even calculate their inverses.
Sage will take care of the calculations but
you'll have to spend time making the output look a little nicer.
end{document}
Next, here is the output. Since some of my matrix constructions are random, it should look different than your run of the same code.
Finally, the basic construction is C = random_matrix(ZZ,4,3) where
- C is the matrix you're defining
- 4 is the number of rows
- 3 is the number of columns
- ZZ is for entries to be integers, QQ for rational, RR for real, CC for complex. You can also work with finite fields. See the documentation.
Note that I've shown how matrix A can be defined by you, entry by entry while B shows how Sage will create the 4x4 identity matrix for you. After you have your matrices set up, Sage will do the calculations as well. This prevents careless mistakes from creeping into your document. Sage isn't part of the LaTeX distribution but you can access it online with a free Cocalc account here. It is possible to install Sage on your computer so you don't need Cocalc. That is more difficult to get up and running. Some important documentation for working with matrices in SAGE is here, here, here, and here. Sage has no problem with big matrices but displaying them on the page becomes problematic. Using usepackage{fullpage} in your code can free up space so that I print a 20 by 20 matrix.
edited 21 hours ago
answered 21 hours ago
DJPDJP
7,82421731
7,82421731
Sorry. I have not tried it yet, can sagetex produce.tex
(instead of.pdf
) file that can be rendered by MathJaX on web browsers?
– The Inventor of God
8 hours ago
1
This is outside of my knowledge. However, this page from the Sagemath site mentions MathJax as follows "The eval function of this class converts a Sage object to its LaTeX representation and then wraps it in HTML that invokes the CSS “math” class, which then employs MathJax.". So it sounds like it might but I don't know for sure.
– DJP
3 hours ago
No problem. Thank you!
– The Inventor of God
2 hours ago
add a comment |
Sorry. I have not tried it yet, can sagetex produce.tex
(instead of.pdf
) file that can be rendered by MathJaX on web browsers?
– The Inventor of God
8 hours ago
1
This is outside of my knowledge. However, this page from the Sagemath site mentions MathJax as follows "The eval function of this class converts a Sage object to its LaTeX representation and then wraps it in HTML that invokes the CSS “math” class, which then employs MathJax.". So it sounds like it might but I don't know for sure.
– DJP
3 hours ago
No problem. Thank you!
– The Inventor of God
2 hours ago
Sorry. I have not tried it yet, can sagetex produce
.tex
(instead of .pdf
) file that can be rendered by MathJaX on web browsers?– The Inventor of God
8 hours ago
Sorry. I have not tried it yet, can sagetex produce
.tex
(instead of .pdf
) file that can be rendered by MathJaX on web browsers?– The Inventor of God
8 hours ago
1
1
This is outside of my knowledge. However, this page from the Sagemath site mentions MathJax as follows "The eval function of this class converts a Sage object to its LaTeX representation and then wraps it in HTML that invokes the CSS “math” class, which then employs MathJax.". So it sounds like it might but I don't know for sure.
– DJP
3 hours ago
This is outside of my knowledge. However, this page from the Sagemath site mentions MathJax as follows "The eval function of this class converts a Sage object to its LaTeX representation and then wraps it in HTML that invokes the CSS “math” class, which then employs MathJax.". So it sounds like it might but I don't know for sure.
– DJP
3 hours ago
No problem. Thank you!
– The Inventor of God
2 hours ago
No problem. Thank you!
– The Inventor of God
2 hours ago
add a comment |
Matrices of normal random numbers using knitr
:
documentclass{article}
usepackage{amsmath}
<<bmatrix,echo=F>>=
options(digits=2)
bmatrix <- function(matr) {
printmrow <- function(x) {cat(cat(x,sep=" & "),"\\ n")}
cat("\begin{bmatrix}","n")
body <- apply(matr,1,printmrow)
cat("\end{bmatrix}")}
@
begin{document}
[ A =
<<echo=F,results='asis'>>=
bmatrix(round(matrix(rnorm(6), 2 ,3),3))
@
]
[ B =
<<echo=F,results='asis'>>=
bmatrix(round(matrix(abs(rnorm(120)), 12 ,10),1))
@
]
setcounter{MaxMatrixCols}{12}
[ C =
<<echo=F,results='asis'>>=
bmatrix(round(matrix(abs(rnorm(144)), 12 ,12),1))
@
]
end{document}
add a comment |
Matrices of normal random numbers using knitr
:
documentclass{article}
usepackage{amsmath}
<<bmatrix,echo=F>>=
options(digits=2)
bmatrix <- function(matr) {
printmrow <- function(x) {cat(cat(x,sep=" & "),"\\ n")}
cat("\begin{bmatrix}","n")
body <- apply(matr,1,printmrow)
cat("\end{bmatrix}")}
@
begin{document}
[ A =
<<echo=F,results='asis'>>=
bmatrix(round(matrix(rnorm(6), 2 ,3),3))
@
]
[ B =
<<echo=F,results='asis'>>=
bmatrix(round(matrix(abs(rnorm(120)), 12 ,10),1))
@
]
setcounter{MaxMatrixCols}{12}
[ C =
<<echo=F,results='asis'>>=
bmatrix(round(matrix(abs(rnorm(144)), 12 ,12),1))
@
]
end{document}
add a comment |
Matrices of normal random numbers using knitr
:
documentclass{article}
usepackage{amsmath}
<<bmatrix,echo=F>>=
options(digits=2)
bmatrix <- function(matr) {
printmrow <- function(x) {cat(cat(x,sep=" & "),"\\ n")}
cat("\begin{bmatrix}","n")
body <- apply(matr,1,printmrow)
cat("\end{bmatrix}")}
@
begin{document}
[ A =
<<echo=F,results='asis'>>=
bmatrix(round(matrix(rnorm(6), 2 ,3),3))
@
]
[ B =
<<echo=F,results='asis'>>=
bmatrix(round(matrix(abs(rnorm(120)), 12 ,10),1))
@
]
setcounter{MaxMatrixCols}{12}
[ C =
<<echo=F,results='asis'>>=
bmatrix(round(matrix(abs(rnorm(144)), 12 ,12),1))
@
]
end{document}
Matrices of normal random numbers using knitr
:
documentclass{article}
usepackage{amsmath}
<<bmatrix,echo=F>>=
options(digits=2)
bmatrix <- function(matr) {
printmrow <- function(x) {cat(cat(x,sep=" & "),"\\ n")}
cat("\begin{bmatrix}","n")
body <- apply(matr,1,printmrow)
cat("\end{bmatrix}")}
@
begin{document}
[ A =
<<echo=F,results='asis'>>=
bmatrix(round(matrix(rnorm(6), 2 ,3),3))
@
]
[ B =
<<echo=F,results='asis'>>=
bmatrix(round(matrix(abs(rnorm(120)), 12 ,10),1))
@
]
setcounter{MaxMatrixCols}{12}
[ C =
<<echo=F,results='asis'>>=
bmatrix(round(matrix(abs(rnorm(144)), 12 ,12),1))
@
]
end{document}
edited 11 hours ago
answered 12 hours ago
FranFran
52.8k6118182
52.8k6118182
add a comment |
add a comment |
john is a new contributor. Be nice, and check out our Code of Conduct.
john is a new contributor. Be nice, and check out our Code of Conduct.
john is a new contributor. Be nice, and check out our Code of Conduct.
john is a new contributor. Be nice, and check out our Code of Conduct.
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If the data is stored in a file, you can use pgfplotstable or csvsimple to format it. OTOH, pgfplotstable can be a pain to customize. For example
columns/name/.style={...}
is used a lot.– John Kormylo
23 hours ago