$2$ square matrices with equal rank
139743
Necessary condition for have same rank
97281
Question regarding matrices with same image
111911
Dimensions of symmetric and skew-symmetric matrices
82688
Least rank of a matrix
38550
2x2 matrices with sum of diagonal entries equal zero
94639
Proof that the rank of a skew-symmetric matrix is at least $2$
17584
Integer matrices with integer inverses
30665
Elegant proofs that similar matrices have the same characteristic polynomial?
134131
Squared norm of matrix equal to squared norm of its transpose
32767
Similar Matrices and Linear Transformations
153961
Determinant of $2 \times 2$ block matrix with commuting blocks
100656
$2\times2$ matrix $A$ such that $A$ has one independent eigenvector while $A^{2}$ has two independent eigenvectors
73155
Prove that for any square matrix, an invertible matrix B exists, so that BA is triangular
146847
Given a square matrix A of order n, prove $\operatorname{rank}(A^n) = \operatorname{rank}(A^{n+1})$
134402
$\mathrm{rank}(A)+\mathrm{rank}(I-A)=n$ for $A$ idempotent matrix
109167
Nth roots of square matrices
123726
$2\times 2 $ matrices over $\mathbb{C}$ that satisfy $\mathrm A^3=\mathrm A$