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What is the relation between $\det(A^TA)$ and $\det(AA^T)$ for an $m\times n$ matrix $A$? [closed]
linear-algebra
matrices
determinant
What is the least value of $k$ for which $B^k = I$?
linear-algebra
matrices
Given a matrix A, how to find B such that AB=BA [duplicate]
linear-algebra
matrices
every real symmetric matrix has at least one real eigenvalue. [duplicate]
linear-algebra
matrices
matrix-calculus
Rotated coordinates on a unit sphere
matrices
geometry
linear-transformations
spherical-coordinates
spherical-geometry
$n = \sum_i d_i = \sum_i d_i^{-1} \implies d_i = 1$
matrices
number-theory
elementary-number-theory
Determinant of $4\times4$ Matrix
linear-algebra
matrices
Finding Jordan Basis of a matrix
linear-algebra
matrices
jordan-normal-form
Why, if we have more columns than rows, can the columns not be linearly independent?
linear-algebra
matrices
vectors
Showing when a permutation matrix is diagonizable over $\mathbb R$ and over $\mathbb C$
linear-algebra
matrices
diagonalization
A linear map $\varphi$ such that $\varphi (GL_n(\mathbb C) )\subseteq GL_n(\mathbb C)$ preserves the rank
linear-algebra
matrices
matrix-rank
Least squares / residual sum of squares in closed form
least-squares
matrices
Evaluate the determinant of a Hessenberg matrix
linear-algebra
matrices
contest-math
determinant
The root system of $sl(3,\mathbb C)$
abstract-algebra
matrices
lie-algebras
Commutativity of matrix and its transpose
linear-algebra
matrices
The rank and eigenvalues of the operator $T(M) = AM - MA$ on the space of matrices
linear-algebra
matrices
eigenvalues-eigenvectors
What is the largest determinant you can get by filling in 0,1 or 2 into a 4-by-4 matrix?
matrices
Is it possible to decompose a matrix as the product of two vectors?
linear-algebra
matrices
How to know if vector is in column space of a matrix?
linear-algebra
matrices
Product of positive definite and seminegative definite matrices
linear-algebra
matrices
numerical-linear-algebra
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