For any square matrix A, the matrix A − A' is always a: A. Symmetric matrix B. Skew-symmetric matrix C. Zero matrix D. Scalar matrix Answer: B) Skew-symmetric matrix Explanation: Let Q = A − A'. Then Q' = (A − A')' = A' − (A')' = A' − A = −(A − A') = −Q. Thus, it is skew-symmetric.

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For any square matrix A, the matrix A − A' is always a:

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For any square matrix A, the matrix A − A' is always a:

Answer: B) Skew-symmetric matrix

Explanation: Let Q = A − A'. Then Q' = (A − A')' = A' − (A')' = A' − A = −(A − A') = −Q. Thus, it is skew-symmetric.