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Question

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

A
A is a diagonal matrix
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B
A is a zero matrix
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C
A is a scalar matrix
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D
A is a square matrix
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Solution

The correct option is B A is a zero matrix
Given that A is a symmetric and skew symmetric matrix,
aij=aji and aij=aji
aij=0
A is a zero matrix

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