Newbetuts

Show that the representation $\mathbb Z\ni a\mapsto\begin{pmatrix}1& a\\0&1\end{pmatrix}$ is not completely reducible

Solving the quadratic equation for matrices

Eigenvalues of Kronecker Product

how to show that $A=[a_i+a_j]_{ij}$ has exactly one positive and one negative eigenvalue.

A controversy regarding the generalization of the Sign function to dual numbers

Kronecker product and the vec operator: confusion on proof of vec(AXB) = (transpose(B) ⊗ A) vec(X)

Find a matrix with determinant equals to $\det{(A)}\det{(D)}-\det{(B)}\det{(C)}$

Why does $A^TAx = A^Tb$ have infinitely many solution algebraically when $A$ has dependent columns?

Matrix determinant lemma derivation

How to calculate the derivative of log det matrix?

Given $A^2$ where A is matrix, how find A?

How to diagonalize a large sparse symmetric matrix to get the eigenvalues and eigenvectors

Matrix Multiplication $\to$ Function Composition?

Determinant of matrix with binomial coefficients entries

Prove that $\begin{vmatrix} xa&yb&zc\\ yc&za&xb\\ zb&xc&ya\\ \end{vmatrix}=xyz\begin{vmatrix} a&b&c\\ c&a&b\\ b&c&a\\ \end{vmatrix}$ if $x+y+z=0$

Let $A,B\in M_2(\mathbb{C})$ such that $A^2+B^2=3AB$. Prove or disprove that $ \det(AB+BA)=\det(2AB). $

New posts in matrices

Dimension of $GL(n, \mathbb{R})$

Going back from a correlation matrix to the original matrix

Decompose invertible matrix $A$ as $A = LPU$. (Artin, Chapter 2, Exercise M.11)

Understanding determinant $=0$

Show that the representation $\mathbb Z\ni a\mapsto\begin{pmatrix}1& a\\0&1\end{pmatrix}$ is not completely reducible

Solving the quadratic equation for matrices

Eigenvalues of Kronecker Product

how to show that $A=[a_i+a_j]_{ij}$ has exactly one positive and one negative eigenvalue.

A controversy regarding the generalization of the Sign function to dual numbers

Kronecker product and the vec operator: confusion on proof of vec(AXB) = (transpose(B) ⊗ A) vec(X)

Find a matrix with determinant equals to $\det{(A)}\det{(D)}-\det{(B)}\det{(C)}$

Why does $A^TAx = A^Tb$ have infinitely many solution algebraically when $A$ has dependent columns?

Matrix determinant lemma derivation

How to calculate the derivative of log det matrix?

Given $A^2$ where A is matrix, how find A?

How to diagonalize a large sparse symmetric matrix to get the eigenvalues and eigenvectors

Matrix Multiplication $\to$ Function Composition?

Determinant of matrix with binomial coefficients entries

Prove that $\begin{vmatrix} xa&yb&zc\\ yc&za&xb\\ zb&xc&ya\\ \end{vmatrix}=xyz\begin{vmatrix} a&b&c\\ c&a&b\\ b&c&a\\ \end{vmatrix}$ if $x+y+z=0$

Let $A,B\in M_2(\mathbb{C})$ such that $A^2+B^2=3AB$. Prove or disprove that $ \det(AB+BA)=\det(2AB). $