1. .) Let A = (aj)-1 be an n x n symmetric matrix (i.e. aj aji). Show, justifying your answer, that (a) if A is also orthogonal then A² = In, (b) instead, if A² = In then A is orthogonal.
1. .) Let A = (aj)-1 be an n x n symmetric matrix (i.e. aj aji). Show, justifying your answer, that (a) if A is also orthogonal then A² = In, (b) instead, if A² = In then A is orthogonal.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1.
.) Let A = (aij)-1 be an n x n symmetric matrix (i.e. aj aji). Show, justifying your
answer, that
(a) if A is also orthogonal then A² = In,
(b) instead, if A² = In then A is orthogonal.
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