Answered: 1 (a) Factor these two matrices into A…

1 (a) Factor these two matrices into A = XAX-¹; 1 2 1 1 A = and A = 0 3 3 3 (b) If A = XAX-¹ then A³ = ( ) ( ) ( ) and A-¹ = ( ) ( )( ).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.5: Systems Of Linear Equations In More Than Two Variables

Problem 15E

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1
(a) Factor these two matrices into A = XAX-¹;
1 2
1
1
A =
and
A =
0 3
3 3
(b) If A = XAX-¹ then A³ = ( ) ( ) ( ) and A-¹ = ( ) ( )( ).

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