If $A$ is a skew-symmetric matrix, then the matrix $(A + A^{T})$ is always

[2 marks]

a unit matrix

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an invertible matrix

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a non-singular matrix

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a null matrix

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Solution

The correct option is D a null matrix
Given : $A$ is a skew-symmetric matrix.
$\Rightarrow A^{T} = - A$
$\Rightarrow A + A^{T} = O$

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