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30 Cousider the rotation matrix R(8)=[ cosd -singT coso a) Show that RIO? is non-tingular uita [RG)]-! = R(-8) b) Show that [RG]T = RC-9) with nonshingalar

30 Cousider the rotation matrix R(8)=[ cosd -singT coso a) Show that RIO? is non-tingular uita [RG)]-! = R(-8) b) Show that [RG]T = RC-9) with nonshingalar

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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30 Consider the rotation matrix R(o)=[ cos9 -sing Sind a) Show that R (O? is non-si [RO)]-! = R(-8) 8) Show that [AO]T = RC-9) e) For what angles deh b RG) aymnctric? van singular with
Transcribed Image Text:30 Consider the rotation matrix R(o)=[ cos9 -sing Sind a) Show that R (O? is non-si [RO)]-! = R(-8) 8) Show that [AO]T = RC-9) e) For what angles deh b RG) aymnctric? van singular with
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  1. If determinant of matrix is not zero then matrix is non singular matrix
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