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Q.

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

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a

A is a diagonal matrix

b

A is a scalar matrix

c

A is a zero matrix

d

none of these

answer is C.

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Detailed Solution

We are given $A^{'} = A$ and $A^{'} = - A$

$∴ A = - A \Rightarrow 2 A = O \Rightarrow A = O$

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