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Prove the following matrix is hogonal. Is the matrix in SO(n)? (1/√2 -1/√2 (² 1/√2 1/√√2

Prove the following matrix is hogonal. Is the matrix in SO(n)? (1/√2 -1/√2 (² 1/√2 1/√√2

Advanced Engineering Mathematics
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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Algebraic Structurs 

12.1_Matrix Groups

1. Prove the following matrix is orthogonal. Is the matrix in SO(n)? 1/√2 -1/√2 (1/N ANZE -1/1/2/3) 1/√2 1/√2
Transcribed Image Text:1. Prove the following matrix is orthogonal. Is the matrix in SO(n)? 1/√2 -1/√2 (1/N ANZE -1/1/2/3) 1/√2 1/√2
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