# C3091326 - 26 Let A be an m n matrix(b Show that AT A and...

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26. Let A be an m × n matrix. (b) Show that A T A and AA T are both symmetric. Proof. ( A T A ) T = A T ( A T ) T (By Algebraic Rule 4 for Transpose) = A T A . (By Algebraic Rule 1 for Transpose) By the definition of symmetry, A T A is symmetric.
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Unformatted text preview: ( AA T ) T = ( A T ) T A T (By Algebraic Rule 4 for Transpose) = AA T . (By Algebraic Rule 1 for Transpose) By the deﬁnition of symmetry, AA T is symmetric. ±...
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