# 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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### Can Mathematica do symbolic linear algebra?

For instance, is there some way I can say "let A and B be arbitrary real $m\times n$ and $k\times m$ matrices, Simplify[Transpose[Transpose[A].Transpose[B]]]" and ...
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### Diagonalization in parallel

I would like to diagonalize one unitary non-sparse matrix of size 12870 with complex number entries (not symbols, this is really a numerical problem). Is it possible to make eigensystem run in ...
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### 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 ...
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### 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: ...