First slide

Transpose of matrix

Question

If A is both diagonal and skew-symmetric, then

Moderate

A

A is a symmetric matrix
B

A is a null matrix
C

A is a unit matrix
D

none of these matrix

Solution

A is a diagonal matrix $a_{i j} = 0 \forall i \neq j$ As A is a skew-symmetric matrix,
$a_{i i} = 0 \forall i$
$∴ A = O$

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