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

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Solve this all three subparts.

I upvote definitely but correctly

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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