How to prove the rank of the conjugate transpose equals the original matrix?
41436
rank of complex conjugate transpose matrix property proof
65395
Prove that if $\operatorname{rank}(T) = \operatorname{rank}(T^2)$ then $R(T) \cap N(T) = \{0\}$
46128
Representation of Matrix with Rank 1
26570
Prove $\operatorname{rank}(AB) = \operatorname{rank}(B)$
97487
How to prove whether a matrix has rank $1$
141015
Proof of orthogonal matrix
128723
The determinant of adjugate matrix
64517
Prove that row rank of a matrix equals column rank
23224
$\mbox{rank}(A)=1$ implies $\det(A+I)=\mbox{trace}(A)+1$
141922
Reason for reversing the order when transpose and inverse of a group of matrices
48660
Proof that determinant rank equals row/column rank
50404
How to prove a matrix is nilpotent?
73297
Two idempotent matrices are similar iff they have the same rank
33355
Proving that matrix in equation is invertible
76335
Proving that two matrices are congruent, in order to establish a rank and signature result.
109471
The eigenvectors of the transpose operator
110381
Prove that if rank(A + B) = rank(A) + rank(B), then col(A) ∩ col(B) = {0}