if A is a square matrix then prove that AAT+ATA IS A SYMMETRIC

 

(AA' + A'A)' = A'A'' + A''A'

= (AA' + AA')

therefore AA' + A'A is symmetric

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 (AA ' + A 'A) ' = A 'A ' ' + A ' 'A '

= (AA ' + A'A )

therefore AA ' + A 'A is symmetric

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