If matrix A is both symmetric and skew-symmetric, then A is necessarily a: A. Diagonal matrix B. Scalar matrix C. Zero matrix D. Identity matrix Answer: C) Zero matrix Explanation: If A is symmetric (A' = A) and skew-symmetric (A' = −A), then A = −A. This implies 2A = O, which means A is a zero matrix.

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If matrix A is both symmetric and skew-symmetric, then A is necessarily a:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If matrix A is both symmetric and skew-symmetric, then A is necessarily a:

Answer: C) Zero matrix

Explanation: If A is symmetric (A' = A) and skew-symmetric (A' = −A), then A = −A. This implies 2A = O, which means A is a zero matrix.