A = -1 2 2 -4 and B = -8 12] -2 3 " b= [3]

Algebra and Trigonometry (6th Edition)
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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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A =
=
-1
2
2
and B -
=
-8
-2
12]
3
A
"
b=
3
Transcribed Image Text:A = = -1 2 2 and B - = -8 -2 12] 3 A " b= 3
(VI)
(VII)
(VIII)
(IX)
integer?)
Find A¹06 by writing b as linear combination of eigenvectors of A.
Find a formula for Ak for all non-negative integers k. (Can k be a negative
Use (VII) to find A¹06 and compare it with what you found in (VI).
Is A similar to B? If yes, find an invertible matrix such that P-¹AP = B.
Transcribed Image Text:(VI) (VII) (VIII) (IX) integer?) Find A¹06 by writing b as linear combination of eigenvectors of A. Find a formula for Ak for all non-negative integers k. (Can k be a negative Use (VII) to find A¹06 and compare it with what you found in (VI). Is A similar to B? If yes, find an invertible matrix such that P-¹AP = B.
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