Rank of Idempotent Matrix
65783
Proving: "The trace of an idempotent matrix equals the rank of the matrix"
71833
Are idempotent matrices always diagonalizable?
70528
Rank of a Matrix Sum
147611
Given $P$ idempotent, show that $I-P$ is idempotent.
62283
How can I quickly know the rank of this / any other matrix?
104097
An idempotent operator is compact if and only if it is of finite rank
111228
Probability that a random binary matrix will have full column rank?
82688
Least rank of a matrix
121221
Rank-Nullity Theorem
112954
Linear regression question on Idempotent matrix and leverage points
55820
If $A$ is an $n \times n$ matrix and $ A^2 = 0$, then $\text{rank}(A)\le n/2$.
135171
Under what conditions is the difference between a rank $1$, postive semidefinite matrix and a hermitian matrix positive semidefinite?
39585
Connection between rank and matrix product
66134
Sufficiently many idempotents and commutativity
26570
Prove $\operatorname{rank}(AB) = \operatorname{rank}(B)$
19203
Is the rank of a matrix the same of its transpose? If yes, how can I prove it?
10483
Prove Sylvester rank inequality: $\text{rank}(AB)\ge\text{rank}(A)+\text{rank}(B)-n$