Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
An n x n matrix A is skew symmetric if A^(-1)=A^t. Prove that if A is invertible and skew-symmetric that A^(-1) is also skew symmetric (use the properties of inverses.) You need to show that (A^(-1))^t=-A^(-1) .
Select the antecedent of the theorem you are proving, then prove the theorem in the box provided. If attaching a file, use only pdf format.
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