Unformatted text preview: Answer: matrix AB is not necessarily symmetric; b) We have ( ABA ) T = A T B T A T = ABA . Answer: matrix ABA is symmetric; c) We have ( A1 ) T = ( A T )1 = A1 . Answer: matrix A1 is symmetric; d) We have ( A1 BA ) T = A T B T ( A1 ) T = AB ( A T )1 = ABA1 . Since matrices A1 BA and ABA1 are not necessarily equal, we get the following Answer: matrix A1 BA is not necessarily symmetric. 1...
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This note was uploaded on 12/26/2011 for the course MATH 214 taught by Professor Conger during the Fall '08 term at University of Michigan.
 Fall '08
 Conger
 Linear Algebra, Algebra

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