Linear Algebra 06/06/2017 by Yu · Published 06/06/2017 · Last modified 11/19/2017 The Rank of the Sum of Two Matrices Problem 441 Let $A$ and $B$ be $m\times n$ matrices. Prove that \[\rk(A+B) \leq \rk(A)+\rk(B).\] Read solution Click here if solved 68 Add to solve later