(a) Show that if A has size n n, then det(A) = (1) n detA. (b)...

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(a) Show that if A has size n × n, then det(−A) = (−1)ⁿ detA.

(b) Prove that, for n odd, any n × n skew-symmetric matrix A = −A^T is singular.

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Applied Linear Algebra

ISBN: 9783319910406

2nd Edition

Authors: Peter J. Olver, Chehrzad Shakiban

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Question Posted: Apr 15, 2023 07:01 AM

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(a) Show that if A has size n n, then det(A) = (1) n detA. (b)...

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a To show that if A has size n n then detA 1n detA we can use the properties ...View the full answer

Applied Linear Algebra

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