(ii) Prove that the product of matricescos²0AIcos@sin0cos@sin0sin?ecos²qB =Icosøsingcososino]sin²oandis the zero matrix when 0 and o differ by an odd multiple of -.

Given the matrix is A=cos2θcosθsinθcosθsinθsin2θB=cos2φcosφsinφcosφsinφsin2φ

Answered: (ii) Prove that the product of matrices…

(ii) Prove that the product of matrices cos²0 Icos@sin0 cos@sin@] sin?e cos²p B = lcosøsing cosøsino] sin?o and is the zero matrix when 0 and p differ by an odd multiple of -

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.1: Inner Product Spaces

Problem 12EQ

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Question

(ii) Prove that the product of matrices
cos²0
A
Icos@sin0
cos@sin0
sin?e
cos²q
B =
Icosøsing
cososino]
sin²o
and
is the zero matrix when 0 and o differ by an odd multiple of -.

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