C3091326 - ( AA T ) T = ( A T ) T A T (By Algebraic Rule 4...

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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 denition of symmetry, AA T is symmetric....
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This note was uploaded on 04/01/2008 for the course MATH 309 taught by Professor Samiabdul during the Spring '08 term at Michigan State University.

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