Question: (a) Let P and Q be n n permutation matrices and v R n a vector. Under what conditions does the equation P

(a) Let P and Q be n × n permutation matrices and v ∈ Rn a vector. Under what conditions does the equation P v = Qv imply that P = Q? 

(b) Answer the same question when PA = QA, where A is an n × k matrix.

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