For any topic related to matrices. This includes: systems of linear equations, eigenvalues and eigenvectors (diagonalization, triangularization), determinant, trace, characteristic polynomial, adjugate, transpose, Jordan normal form, matrix algorithms (e.g. LU, Gauss elimination, SVD, QR), ...

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Matrix Derivations-Research

$DT_3(R)$ is the upper triangular matrix with the diagonal being the same element, for example $\begin{bmatrix}a&b&c\\0&a&d\\0&0&a\end{bmatrix}$ where $a,b,c,d ∈R$. Based on ...
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Triangulation of matrices

Suppose that $A$ is some triangularizable matrix in $M_n(\mathbb R)$. The usual approach I know of to find a triangular matrix similar to it is to find bases for all the eigenspaces, then find their ...