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Engineering Maths · Q122

Linear Algebra

Engineering and GATE · Engineering Maths · question 122

Q122

Which one of the following equations is a correct identity for arbitrary 3 × 3 real matrices P, Q and R?

A.
P(Q + R) = PQ + RP
B.
(P - Q)2 = P2 - 2PQ + Q2
C.
det (P + Q) = det P + det Q
D.
(P + Q)2 = P2 + PQ + QP + Q2
Answer

Answer: Option D

Solution

Answer: Option D
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