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If A is a square matrix then A+A^T will be ....... matrix.

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symmetric

identity

skew symmetric

scalar

answer is A.

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Detailed Solution

${(A + A^{T})}^{T} = A^{T} + {(A^{T})}^{T} = A^{T} + A$

$∴ A + A^{T}$ is a symmetric matrix.

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