Proof of the triangle inequality for the rank of a matrix
70528
Rank of a Matrix Sum
51678
Proof that the largest eigenvalue of a stochastic matrix is $1$
93599
General Proof for the triangle inequality
134402
$\mathrm{rank}(A)+\mathrm{rank}(I-A)=n$ for $A$ idempotent matrix
41026
How to prove and interpret $\operatorname{rank}(AB) \leq \operatorname{min}(\operatorname{rank}(A), \operatorname{rank}(B))$?
104217
Alternative triangle inequality proof
68986
Use the triangle inequality to show that $|a|+|b| \leq |a+b|+|a-b|$
39015
Prove the triangle inequality on the sphere $S^2$ in $\mathbb{R}^3$.
119435
Rank of the difference of matrices
105908
Triangle Inequality for SPD Matrix Norm
121157
Proof verification: column rank = row rank
11895
If $AB=0$ prove that $\mathrm{rank}(A)+\mathrm{rank}(B)\leq n$
24617
Proof of Inequality using AM-GM
83049
Frobenius Inequality Rank
110381
Prove that if rank(A + B) = rank(A) + rank(B), then col(A) ∩ col(B) = {0}
26570
Prove $\operatorname{rank}(AB) = \operatorname{rank}(B)$
37162
Prove that matrices have equal rank.