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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.
10
votes
1
answer
487
views
Examples of using Mathematica to solve matrix equations symbolically
Suppose we want to solve a linear system like
$$\left\lbrack\begin{array}{cc}M& S\\ -S^\mathrm{T}&0 \end{array} \right\rbrack \left\lbrack \begin{array}{c} x\\y\end{array}\right\rbrack = \left\lbrack …
12
votes
2
answers
432
views
Does LinearSolve know that I gave it a Sparse lower triangular matrix?
Let $\mathbf L$ be a nonsingular numeric (non-symbolic) large, lower triangular sparse matrix. Let $\mathbf b$ be an appropriately sized vector. I want to solve $\mathbf L\mathbf x=\mathbf b$.
Do …