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KCET2019MathematicsMatrices

If ( P ) and ( Q ) are symmetric matrices of the same order then ( P Q-Q P ) is

Options

  1. Asymmetric matrix
  2. Bskew symmetric matrix
  3. Cidentity matrix
  4. Dzero matrix

Correct answer

B. skew symmetric matrix

Step-by-step solution

(B) Given P=P^ and Q=Q^ (P Q-Q P)^ =(P Q)^ -(Q P)^ = (Q^ P^ -P^ Q^ )=Q P-P Q=-[P Q-Q P] (P Q-Q P) is skew symmetric.

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