New posts in matrices

Connection between PCA and linear regression

matrices statistics statistical-inference regression principal-component-analysis

What is the solution to this matrix optimization problem $A^* = \text{argmin}_{A} \sum_{i=1}^{r-1}|Ax_i-x_{i+1}|^2$?

matrices optimization matrix-analysis

Prove or disprove : $\det(A^k + B^k) \geq 0$

linear-algebra matrices determinant

Eigenvalues of a row-reduced matrix on the main diagonal still?

linear-algebra matrices

Why is the largest element of symmetric, positive semidefinite matrix on the diagonal?

matrices matrix-decomposition semidefinite-programming

The matrix exponential: Any good books?

matrices reference-request exponential-function book-recommendation

Changes in singular values of matrix when rows are added

linear-algebra matrices svd

$\det(I+A)=1+\operatorname{Tr}(A)$ if $\operatorname{rank}(A)=1$

linear-algebra matrices determinant trace

Intuition for connectedness of positive definite matrices

matrices positive-definite

Is there a semi-norm that respects matrix similitary?

linear-algebra matrices vector-spaces normed-spaces

When is a complex symmetric matrix with only the last row and column being non zero diagonalizable?

linear-algebra matrices eigenvalues-eigenvectors diagonalization symmetric-matrices

Has there been a rigorous analysis of Strassen's algorithm?

linear-algebra matrices algorithms computational-complexity

Is the general linear group generated by elementary matrices?

abstract-algebra group-theory matrices

Proving if A and B are matrices such that A, B, and AB are normal, then BA is also normal.

linear-algebra matrices reference-request

Let $A$ be a $4\times2$ matrix and $B$ be a $2\times4$ matrix. Find $BA$ when $AB$ is given.

linear-algebra matrices

how to find the eigenvalues of permutation matrices?

linear-algebra matrices eigenvalues-eigenvectors

If $A$ is a matrix such that $A^T = A^2$, what are eigenvalues of $A$?

linear-algebra matrices eigenvalues-eigenvectors minimal-polynomials transpose

Why is SVD on $X$ preferred to eigendecomposition of $XX^\top$ in PCA?

linear-algebra matrices numerical-linear-algebra svd principal-component-analysis

Quick method for finding eigenvalues and eigenvectors in a symmetric $5 \times 5$ matrix?

matrices eigenvalues-eigenvectors

Eigenvalues of a tridiagonal trigonometric matrix

linear-algebra matrices trigonometry numerical-methods continued-fractions