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.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.2: Determinants

Problem 7AEXP

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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.

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