The submatrix of a matrix in relation to the rank of the matrix
48660
Proof that determinant rank equals row/column rank
24454
The relationship between the eigenvalues of matrices $XY$ and $YX$
15202
the root of $N$th transpose matrix
2271
Determinant of a rank $1$ update of a scalar matrix, or characteristic polynomial of a rank $1$ matrix
150387
Questions about matrix rank, trace, and invertibility
62283
How can I quickly know the rank of this / any other matrix?
10083
Determinant of matrix times a constant.
123665
A question in Subspaces in linear algebra
94639
Proof that the rank of a skew-symmetric matrix is at least $2$
23224
$\mbox{rank}(A)=1$ implies $\det(A+I)=\mbox{trace}(A)+1$
46128
Representation of Matrix with Rank 1
26570
Prove $\operatorname{rank}(AB) = \operatorname{rank}(B)$
21758
Rank of the $n \times n$ matrix with ones on the main diagonal and $a$ off the main diagonal
146847
Given a square matrix A of order n, prove $\operatorname{rank}(A^n) = \operatorname{rank}(A^{n+1})$
130498
Linear algebra proof regarding matrices
135316
A basic question on diagonalizability of a matrix
35813
Elements operation in the corresponding position of a matrix