# Questions tagged [linear-algebra]

Questions about Mathematica functionality related to manipulating vector spaces and linear mappings between such spaces. This includes determination of matrix properties, matrix transformations, decompositions, and factoring.

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### Doesn't print the Inverse of a Matrix [duplicate]

I want to calculate and print the inverse of a Matrix. But it calculates it but doesn't show the Output. What can be the problem here?
42 views

### Square root of a matrix with complex elements

How to compute the square root of the matrix Rho = {{Wxx, Wxy, Wxz}, {Wyx, Wyy, Wyz}, {Wzx, Wzy, Wzz}} if not all of its elements are real?
38 views

48 views

### Arnoldi method misses eigenvalues degeneracies for very sparse matrices

I am here to signal a problem very very similar to the one already discussed here Wrong eigenvalues from a sparse matrix In particular, I have a very sparse matrix and I am asking just few dominant ...
34 views

### Parameter dependent linear independence check

Suppose I have a rectangular matrix $M(x)$ depending on a real parameter $x$. I want to find out for which $x$ are the columns of $M(x)$ linearly dependent (or equivalently, when $M(x)$ has a ...
54 views

### How do I perform an LU Decomposition without pivoting? [duplicate]

I know that LUDecomposition in Mathematica does a pivoted decomposition, finding an $LU$ such that $PA = LU$. However, I have a $4 \times 4$ matrix and I need to do ...
59 views

### Mathematica's Plot3D function gives me a scrambled plot

When I plot the band structure of the Lieb lattice, which has the Hamiltonian given in this code, I get a scrambled plot in the output. I've tried the exact same procedure with many different lattices ...
77 views

### Need help with finding a matrix

Could anyone please help me find a 4 by 4 matrix A such that A.Transpose[A] exactly equals the following matrix: ...
104 views

### Finding the square root of a 7*7 matrix with real entries

Suppose that I have the following symbolic 7*7 matrix ...
133 views

### Extract ViewVertical from ViewMatrix

Given a ViewMatrix setting of the form {t, p}, how can one determine the ViewVertical? Let'...
94 views

### Penalty function on discrete mesh using Laplace-Beltrami operator?

Context I am interested in extending to the ill-condionned regime the inversion of linear equations arising from inverting differential equations which have been solved via 0-splines over a mesh ...