Questions on the linear algebra functionality of Mathematica.
1
vote
2answers
76 views
Matrix echelon/upper diagonal form
Is there a way to find the echelon form of a matrix in Mathematica? I see there is a function to find the reduced echelon form, RowReduce[], but I can't see ...
1
vote
1answer
108 views
RowReduce Problem
Here are two examples:
RowReduce[{{3, 1, a}, {2, 1, b}}]
evaluates to
{{1, 0, a - b}, {0, 1, -2 a + 3 b}}
but
...
1
vote
0answers
74 views
Nontrivial solutions of equation
Here, I have one problem in finding nontrivial solutions of a system of equations. I want to choose one variable, for example X1 and to get solutions of X2(X1) and X3(X1). It is not difficult when I ...
1
vote
0answers
95 views
How to express this output in the form $X=A.x$?
This problem arose in my stereo vision project.
I have two matrices:
$$
A = \left(
\begin{array}{ccc}
\text{x1}*\text{p131}-\text{p111} & \text{x1}*\text{p132}-\text{p112} & ...
1
vote
1answer
126 views
Functions that operate on symbolic matrices?
I'd like to write functions that operate on symbolic matrices, and do nothing when fed anything else.
...
1
vote
0answers
167 views
Matrix algebra vs. PrincipalComponents and Varimax/Oblimin
Using matrix algebra I can calculate loadings and scores from the covariance matrix (data matrix is column centered):
...
1
vote
0answers
133 views
Parallel linear algebra with arbitrary precision
Is it possible to do parallel linear algebra with arbitrary precision within Mathematica (in a simple manner, as is done for the machine precision)?
1
vote
0answers
240 views
Matrix multiplication involving MatrixForm [duplicate]
Possible Duplicate:
Why does MatrixForm affect calculations?
I am doing a matrix multiplication, but not getting the desired output. I am doing the matrix multiplication of $A^{-1}B$ from ...
0
votes
1answer
89 views
large matrix eigenvalue problem
I need solve a very large complex matrix (not sparse and not symmetry) eigenvalue problem, e.g., 1e4*1e4 or even 1e6*1e6.
How large dimensions of the matrix can Mathematica support? And, how about ...
0
votes
1answer
84 views
Projection of a set of 4D points to the 3D space
Consider the following set of points in the 4D space:
...
0
votes
1answer
96 views
0
votes
1answer
133 views
Rearranging a biclustered matrix
I currently have a $77\times 38$ matrix, and I have used a clustering algorithm to cluster the row data and column data. The rows and columns of my matrix correspond to a list of country codes (not in ...
0
votes
1answer
539 views
Solve matrix equation A*X=X*B using LeastSquares
I want to solve matrix equation A*X=X*B using LeastSquares method, but it is suited for equation like A*X=B.
All matrices are 3x3
...
0
votes
1answer
263 views
If I know the steady state vector of a stochastic matrix, can i recover the matrix? [closed]
By steady state vector I mean the eigenvector which has an eigenvalue of 1. So is there a way to at least iteratively approximate the entries of the stochastic matrix?
Thanks.
0
votes
1answer
255 views
Decoupling system of differential equations
Here I have one task and it is preparation for small exam. I solved it by hand for first case 1), but I need to check it in $Mathematica$ and to try to implement it for both cases 1) and 2) ...
0
votes
1answer
118 views
Interpolating a Bivariate Polynomial over a Finite Field
Let $F=GF(p)$ be a finite field, $p$ prime and write $F^\times=\{x_1,\ldots,x_n\}$.
I'm trying to implement an earlier version of Sudan's list-decoding algorithm for Reed Solomon Codes
...
0
votes
1answer
242 views
On the parallelization of matrix multiplications in Mathematica 8
I have installed Mathematica 8, but I think the commands for parallelizations do not work! Even when I try to test the example in the Help of Mathematica, I face with
ParallelDo::nopar: No ...
0
votes
0answers
5 views
Finding Vectors in cartesian form [migrated]
I am stuck on this question could you please help me.
Find,in Cartesian form, the equations of the straight line through the point with position vector (-1,2,-3) parallel to the direction given by ...
0
votes
0answers
112 views
6x6 matrix NullSpace
I'm working with a 6x6 matrix. Whenever I try to find the NullSpace and FullSimplify it, I get the error
No more memory ...
0
votes
1answer
63 views
Why does Eigenvalues[matrix I defined] not work? [duplicate]
This is the code I have in my mathematica notebook. I want to find the eigenvalues of the matrix I created called Hmatrix as defined below. However when I type Eigenvalues[Hmatrix] I get the Hmatrix ...
0
votes
0answers
62 views
Inverse problem of Eigenvalues in DSolve
For my graduation exam I must prepare system of equations to satisfy some specific conditions. I have solutions, output 2, but I need equations eq11 and eq22. So here is an example.
...
0
votes
0answers
82 views
Not getting the required eigenvalues [closed]
I'm trying to use Mathematica to show that the eigenvalues of $U$ are $\pm\dfrac{1-i}{\sqrt{2}} $, where
$U = (I + T + iS)(I - T- iS)^{-1}$ where $ S = \left( \begin{matrix}
1 & 1 \\
1 ...
-1
votes
1answer
63 views
