1. PQ = I but QP ≠ I
  2. QP = I but PQ ≠ I
  3. PQ = I and QP = I
  4. PQ – QP = I
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1 Answers

Option 3 : PQ = I and QP = I

Given, P = Q-1

Post multiply by Q

PQ = Q-1Q (we know Q-1Q = I)

PQ = I

Similary, pre-multiply by Q

QP = QQ-1

QP = I (QQ-1 = I)

So, PQ = I and QP = I
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