Rank of Sum of 2 Special Matrices
134244
Determinant of a matrix will all off-diagonal elements equal
30866
Relation between rank and number of distinct eigenvalues of a matrix
137148
If $A=\left( \begin{array}{ccc} 0 & 1 & 0 \\ 0 & 0 & 1 \\ 1 & 0 & 0 \end{array} \right)$, find the rank of $A+A^2+A^3$
78575
If $A^2 = I$, then $\operatorname{rank} (A+I) + \operatorname{rank} (A-I) =n$
139951
Direct Sum of vector subspaces
73297
Two idempotent matrices are similar iff they have the same rank
80545
The Determinant of a Special Vandermonde Matrix
43000
Show $\operatorname{rank}(A) + \operatorname{rank}(B) \ge \operatorname{rank}(A+B)$
125889
Determinant of rank-one perturbations of (invertible) matrices
146438
Determinant of a special skew-symmetric matrix
122853
Show that $\operatorname{rank}(A) = \operatorname{rank}(B)$
134402
$\mathrm{rank}(A)+\mathrm{rank}(I-A)=n$ for $A$ idempotent matrix
41436
rank of complex conjugate transpose matrix property proof
64517
Prove that row rank of a matrix equals column rank
20331
Determinant of a $2\times 2$ block matrix
34759
Name of a special matrix
76160
Dimension of the sum of two vector subspaces