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KCET2017MathematicsDeterminants

If a matrix ( A ) is both symmetric and skewsymmetric, then

Options

  1. A( A ) is diagonal matrix
  2. B( A ) is a zero matrix
  3. C( A ) is scalar matrix
  4. D( A ) is square matrix

Correct answer

B. ( A ) is a zero matrix

Step-by-step solution

For symmetric matrix, we know that: A^ T =A (1) For skew-symmetric matrix, we know that: A^ T =-A (2) So, A=-A A=0 Therefore, matrix A is a zero matrix.

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