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Question

If A is a square matrix A+AT is symmetric matrix, then
AAT=

A
Unit matrix
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B
Symmetric matrix
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C
Skew symmetric matrix
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D
Zero matrix
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Solution

The correct option is C Skew symmetric matrix
(AAT)T=AT(AT)T=ATA[(AT)T=A]=(AAT)
So, AAT ​is a skew symmetric matrix.

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