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Let a E R and let A e M2,2(R) be such that CO a sin a A = sin a cO a - a) Is it true that A is orthogonal matrix? Explain why? b) Is A is matrix of reflection? Explain why? c) Find the parametric equation of the line of reflection.

Let a E R and let A e M2,2(R) be such that CO a sin a A = sin a cO a - a) Is it true that A is orthogonal matrix? Explain why? b) Is A is matrix of reflection? Explain why? c) Find the parametric equation of the line of reflection.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let a E R and let A e M2,2(R) be such that CO a sin a A = sin a cO a - a) Is it true that A is orthogonal matrix? Explain why? b) Is A is matrix of reflection? Explain why? c) Find the parametric equation of the line of reflection.
Transcribed Image Text:Let a E R and let A e M2,2(R) be such that CO a sin a A = sin a cO a - a) Is it true that A is orthogonal matrix? Explain why? b) Is A is matrix of reflection? Explain why? c) Find the parametric equation of the line of reflection.
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