Number of $3 \times 3$ matrices with integer entries such that $AA^t$ is the identity matrix
36064
How many $3 \times 3$ integer matrices are orthogonal?
33477
Proving that if $A$ is a $8\times 8$ matrix over $\mathbb{R}$ and $A^3=A$, then $A$ is diagonalizable.
12355
Sylvester's determinant identity
87425
Prove that if $A$ is a square matrix with integer entries and $\det(A) = \pm 1$, then $A^{-1}$ contains all integer entries.
131611
$A^TA$ is always a symmetric matrix?
49330
If for two suitable matrices $B$ and $C$, $AA^TB=AA^TC$ can we conclude that $A^TB=A^TC$?
51800
We have matrix $A\in M_{n-1\times n}(\mathbb Z)$ so that the sum of entries in each row is zero. Prove that $\det(AA^T)=nk^2.$
125174
Combinatorial intuition of identity
8627
Number of equivalence classes of $w \times h$ matrices under switching rows and columns
128646
$S$ is a $3\times 3$ real matrices. Then $S$ contains which matrices
106511
Determinant of the sum of matrices: $\det (A + B^T) = \det(A^T + B)$
100627
for a $3 \times 3$ matrix A ,value of $ A^{50} $ is
71564
Combinatorial proof of identity involving central binomial coefficients
158364
Are there uncountably many $A\in M_3 (\mathbb {R})$ such that $A^8=I $?
11857
$A$ be a complex $3\times 3$ matrix such that $A^3=-I$
45532
Let $A$ be a $n\times n$ matrix with entries $a_{ij}=i+j $ . Calculate rank of $A$
31326
Number of $(0,1)$ $m\times n$ matrices with no empty rows or columns