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How to rotate the positions of a matrix by 90 degrees
matrices
matrix-equations
Relationship between eigenvalues of a matrix and its square
matrices
Why is this true for matrices? Linearly dependent columns $\implies$ not invertible
linear-algebra
matrices
Where does the Jordan canonical form show up in more advanced mathematics?
linear-algebra
abstract-algebra
matrices
jordan-normal-form
research
Possible Jordan Canonical Forms Given Minimal Polynomial
linear-algebra
abstract-algebra
matrices
jordan-normal-form
How to prove that exponential kernel is positive definite?
linear-algebra
matrices
Smith normal form of a polynomial matrix
matrices
polynomials
control-theory
smith-normal-form
Dimension of vector space of matrices with zero row and column sum.
linear-algebra
matrices
How find this matrix $A=(\sqrt{i^2+j^2})$ eigenvalue
linear-algebra
matrices
quadratic-forms
Prove that if $\operatorname{rank}A=n$, then $\operatorname{rank}AB=\operatorname{rank}B$
linear-algebra
matrices
matrix-calculus
If a matrix is triangular, is there a quicker way to tell if it is can be diagonalized?
matrices
Matrix multiplication notation
linear-algebra
matrices
notation
$AB \neq 0$ but $BA=0$
abstract-algebra
matrices
noncommutative-algebra
Compute the derivative of $\mbox{tr}(AXB)$ with respect to $X$
matrices
derivatives
matrix-calculus
trace
scalar-fields
What is the relation between the eigenspace of a matrix and its column space?
linear-algebra
matrices
eigenvalues-eigenvectors
Every complex matrix can be written as the sum of a Hermitian and a skew-Hermitian matrix. What is this called?
terminology
linear-algebra
matrices
Diagonalized matrix - Is each column an eigenvector?
abstract-algebra
matrices
vector-spaces
eigenvalues-eigenvectors
linear-algebra
How to calculate the rank of a matrix?
linear-algebra
matrices
matrix-rank
Is the characteristic polynomial of a matrix $\det(\lambda I-A)$ or$ \det(A-\lambda I)$?
matrices
How to determine if a set of five $2\times2$ matrices is independent
linear-algebra
matrices
vector-spaces
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