Can a 3x3 Matrix in the Integers with Determinant 2 have this product with a 3x1 Matrix?
110484
Condition on a matrix so that its determinant is $2$
134244
Determinant of a matrix will all off-diagonal elements equal
24873
Determinant of elementary permutation matrix
85297
find a $3 \times 3$ matrix $A$ such that $A \neq I_3$ and $A^{197}=I_3$.
108012
A matrix $M$ that commutes with any matrix is of the form $M=\alpha I$
136142
Is division of matrices possible?
6091
Similarity of products $AB$ and $BA$ of square matrices
127085
Bound on the difference of two determinants
129743
$A$ be a $2\times 2$ real matrix with trace $2$ and determinant $-3$
129583
Find 3x3 real matrix A such that $A^2 \neq I$ and $A^4 = I$, where I is identity matrix.
39537
Determinant of a block upper triangular matrix
145980
For every matrix $A\in M_{2}( \mathbb{C}) $ there's  $X\in M_{2}( \mathbb{C})$ such that $X^2=A$?
27984
Square matrices satisfying certain relations must have dimension divisible by $3$
121062
Given a matrix, is there always another matrix which commutes with it?
35757
A 2x2 matrix $M$ exists. Suppose $M^3=0$ show that (I want proof) $M^2=0$
105405
Product of three consecutive positive integers is never a perfect power
115905
The determinant of block triangular matrix as product of determinants of diagonal blocks