(a) Show that (Aij)T = (AT)ji for all i, j and all square matrices A. (b) Use...

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(a) Show that (Aij)T = (AT)ji for all i, j and all square matrices A.
(b) Use (a) to prove that det AT = det A.

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Linear Algebra With Applications

ISBN: 9780070985100

7th Edition

Authors: W. Keith Nicholson

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Question Posted: Jun 21, 2016 06:34 AM

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(a) Show that (Aij)T = (AT)ji for all i, j and all square matrices A. (b) Use...

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Proceed by induction on n where A is n n If n 1 A T A In ge...View the full answer

Linear Algebra With Applications

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