Finding rank of matrix A^2 =A
65783
Proving: "The trace of an idempotent matrix equals the rank of the matrix"
41436
rank of complex conjugate transpose matrix property proof
58021
Finding matrix $B$ is not zero matrix where $AB= 0$
146847
Given a square matrix A of order n, prove $\operatorname{rank}(A^n) = \operatorname{rank}(A^{n+1})$
4205
Is adjoint of singular matrix singular? What would be its rank?
69606
How to prove rank(A+) is no more than rank(A)?
45469
If $a_k = \operatorname{rank}(S^k)$, deduce that $a_k - a_{k+1} \geq a_{k+1} - a_{k+2}$
122853
Show that $\operatorname{rank}(A) = \operatorname{rank}(B)$
4952
Let $A$ be a diagonalizable matrix and $\lambda$ be an eigenvalue of A. Prove that rank($\lambda I - A$) = rank(($\lambda I - A)^2$).
110381
Prove that if rank(A + B) = rank(A) + rank(B), then col(A) ∩ col(B) = {0}
44898
Help with commutative property of matrices problem
43570
Finding two non-zero matrices where $AX = BA$
123925
Grabbing the independent columns of a matrix A
54118
Proving Eigenvalue squared is Eigenvalue of $A^2$
150714
Quick question: matrix with norm equal to spectral radius
118304
If $A^2 = I$ (Identity Matrix) then $A = \pm I$
116539
Eigenvalues of matrix satisfying $A^2 = A$