Problem 5 :Let A, B ∈ (R). Prove that rank A + rank B ≤ n if and only if there exists an invertible matrix X ∈ (R) such that AXB = .
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(R). Prove that rank A + rank B ≤ n if and only if there exists an invertible matrix X ∈ 
(R) such that AXB = 
.