First slide

Transpose of matrix

Question

Which of the following is correct?

Moderate

A

Skew symmetric matrix of even order is always singular.
B

Skew symmetric matrix of odd order is non-singular.
C

Skew symmetric matrix of odd order is singular.
D

None of the above.

Solution

Since the determinant of a skew symmetric matrix of odd order is zero,
$∴$ The matrix is singular.

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