# 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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### Fastest way to update rows of an array of SparseArrays

I have an array of sparse arrays (check update 3 below for a concrete example that has the same qualitative features as what I use in my real code) , say ...
136 views

### easiest way to construct the following determinant

What is the easiest way to construct the following determinant?] p is variable, I want to vary value of p each time and get the appropriate determinant.
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### Trying to extract the Eigen values and Eigen vector of a matrix

I have a Matrix A, which is a function of ω. I wanted to find the eigenvalues and eigenvectors of this matrix, how to do it. I have used the EigenSystem function ...
398 views

### Defining a big matrix for iterative algorithm

I need to solve this system of equations with Seidel and Jacobi methods, so I tried to define a big matrix in Wolfram. I have read documentation, and I wrote the following command that should help me,...
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### Inverse of Sparse Diagonal Array not Sparse

Kind of bummed that when I take the inverse of a matrix that is a diagonal sparse array, the result in not a sparse array. Further, the time to compute the inverse is the same as the time to compute ...
80 views

### Expand and Simplify do not work for NonCommutativeMultiply

Expand and Simplify do not work for NonCommutativeMultiply[] then how do we expand an expression like (a+b)**(a-b) ?
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### Solving equations, checking linear dependency of equations

I have the following input and try to do solve the equations for in total four unknowns. When I run the input only "solutions" for two of the four unknowns are given in the output. I am not quite sure,...