rank of the matrix product
41026
How to prove and interpret $\operatorname{rank}(AB) \leq \operatorname{min}(\operatorname{rank}(A), \operatorname{rank}(B))$?
10483
Prove Sylvester rank inequality: $\text{rank}(AB)\ge\text{rank}(A)+\text{rank}(B)-n$
37162
Prove that matrices have equal rank.
82688
Least rank of a matrix
55820
If $A$ is an $n \times n$ matrix and $ A^2 = 0$, then $\text{rank}(A)\le n/2$.
26570
Prove $\operatorname{rank}(AB) = \operatorname{rank}(B)$
63753
Eigenvalues of product of two complex matrices
122853
Show that $\operatorname{rank}(A) = \operatorname{rank}(B)$
24561
$\mathbb S_n$ as semidirect product
119435
Rank of the difference of matrices
60736
Looking for an intuitive explanation why the row rank is equal to the column rank for a matrix
128723
The determinant of adjugate matrix
115137
Product of adjacency matrices
44927
Finding rank-nullity of a given matices
47589
Product of a primitive matrix and its transpose.
123151
Find the rank of matrix.
123483
Prove that $\operatorname{rank}(A) + \operatorname{rank}(B) \ge \operatorname{rank}(A + B)$