DeterminantHard

Question

Which one of the following is wrong ?

Options

A.The elements on the main diagonal of a symmetric matrix are all zero
B.The elements on the main diagonal of a skew - symmetric matrix are all zero
C.For any square matrix A, (A + A′) is symmetric
D.For any square matrix A, (A - A′) is skew - symmetric

Solution

The elements of main diagonal of skew symmetric matrix are all zero but not necessarily for symmetric matrix.
is symmetric matrix.
is skew symmetric matrix.

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