New posts in Matrix Decomposition

Prove that if $A^{t}A$ is idempotent then $A^{t}=A^{+}$

Spectral decomposition theorem

Closed-form solution for the determinant of a Vandermonde-like matrix

Gradient of $A \mapsto \sigma_i (A)$

Condition number and $LU$ decomposition

Optimizing quadratic form with respect to inner positive definite matrix with a trace constraint

Polar decomposition of a general matrix

Solving the matrix equation $X^tA+A^tX=0$ for $X$ in terms of $A$

Prove that the polar decomposition of normal matrices, $A=SU$, is such that $SU=US$

Determine if Matrix can be permutated into Block Diagonal Matrix