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GATE XE 2024 | Question: 9

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Let $P$ and $Q$ be two square matrices of the same order. Then, which of the following matrices is/are necessarily equal to $(P+2 Q)^{2}$ ?

  1. $P^{2}+4 P Q+4 Q^{2}$
  2. $P(P+2 Q)+Q(2 P+4 Q)$
  3. $(P+2 Q)(2 Q+P)$
  4. $P^{2}+2 P Q+2 Q P+4 Q^{2}$

     

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