All Questions
Tagged with mathematica linear-algebra
27
questions
0
votes
1
answer
169
views
Is there a less time-consuming way to solve a Symmetric Matrix Equation
I'm currently working on solving an equation that involves a symmetric matrix C with 4 unknown variables, and a vector A of the same dimension. The equation I'm trying to solve is:
...
-1
votes
1
answer
71
views
Determining the number of trinities in a graph [closed]
Based on the following adjacency matrix and the formula trace(A³)/6:
How can I use Mathematica to determine the number of trinitys? (also known as triangles or 3-cliques)
- 157
0
votes
0
answers
40
views
Can I substitute letters for long expressions in 5x5 matrix for Jordan decomposition?
I have a 5x5 matrix with long expressions, containing 15 variables. In Mathematica, taking Jordan decomposition of the original matrix makes no progress after one day. If I substitute 25 letters A-Z ...
- 3
0
votes
3
answers
97
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Is $M^TM=I$ not the same as $\mathbf{v}^TM^TM\mathbf{v}=\mathbf{v}^T\mathbf{v}$???
I define a function $f[\mathbf{v}]$ as follows:
$$
f[\mathbf{v}]=\mathbf{v}^T\mathbf{v}
$$
I am now interested in a group of linear transformation $M$ ($n\times n$ matrices) which leaves the ...
- 2,589
0
votes
1
answer
48
views
Trianlge area and minimum value using Mathematica.
A triangle has two of its corners in (3.052 , 0 , 1.456), (0 , 3.052, 1.456), and the third of the curve in the room consisting of all points (3.052 , 3.052, a ^ 2 + 1.456), where a is a real number. ...
user766526
-1
votes
1
answer
101
views
Proving a shift transformation theorem with taylor series [closed]
I need to prove a transformation theorem $T(ψ(x)) = (e^{hD})*ψ(x)$ and use Taylor series to do this task. It is known that $T(ψ(x)) = ψ(x + h)$ and $D$ is a derivatation.
I have no idea, how to start ...
- 9
0
votes
1
answer
49
views
Show a matrix is a linear transformations [closed]
So I know I need to multiply my transformations by (1,0) and (0,1) but I’m unsure how to get the transformations as if I multiply just by the given matrix I get the same answer please help.
- 127
6
votes
1
answer
2k
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Eigenvalues of rank-$1$ update
If I have a diagonal matrix with rank-$1$ update $$D + u v^T$$ what can I say about its eigenvalues?
I know from Two matrices that are not similar have (almost) same eigenvalues that every eigenvalue ...
- 103
0
votes
0
answers
46
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Fourier Series on Mathematica
Trying to find the first few terms of the Fourier series of $e^{x^2}$ on Mathematica, but my code doesn't seem to be working. It says the first few terms are all 0. Can anyone look at it and tell me ...
- 1
0
votes
1
answer
455
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Is there a way to solve a very complicated equation in one variable? [closed]
Essentially solving for x in this equation:
$\frac{(631.60353-0.078408πx^3-3.44416x^2)[π(\sin31.72778)+2]}{6.54928x+0.22365x^2} + 15.4-\frac{x(\sin31.72778+2)+7.7}{6.54928x+0.22365x^2}(0.235224πx^2+6....
- 25
1
vote
1
answer
430
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Visualizing Linear Transformations with Sage
Perhaps this isn't the best place to ask this, but there is no Sage specific stackexchange, so here I am.
I would like to be able to produce the geometric effect of a linear transformation, either on ...
- 476
0
votes
0
answers
392
views
Almost degenerate eigenvalue
I have a 16 x 16 hermitian matrix with numerical entries with 16 digits of precision (double precision on my machine). Two of my Eigenvalues are very small ($1 \...
- 185
4
votes
2
answers
501
views
Finding analytical solutions for given equations
I have a system of 6 equations with 6 variables. The 6 variables are $t11, t12, t13, t21, t22, t23$ and the rest of the symbols in the equations are known symbols. I want to find all the possible ...
- 580
0
votes
0
answers
57
views
Is it possible to block diagonalise a complex matrix with some arbitrary matrix elements?
I have a matrix of this form
\begin{bmatrix}
\ 0 & v_1 & we^{-ik} \\[0.3em]
\ v_1 & 0 & v_2 \\[0.3em]
we^{ik} & v_2 & 0
...
- 51
0
votes
0
answers
44
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Searching for a program to evaluate linear equations
I have a mechanical / geometrical system that is defined by certain equations. For some variables, I know that they are known, some of them are constant.
I would like to have a software (freeware) ...
- 113