For the given matrix and eigenvalue, find an eigenvector corresponding to the eigenvalue. 8) A=-6-2] A= 6 60 16] A) B) Find a formula for Ak, given that A PDP-1, where P and D are given below. [4 11-[5 0] %3D 121
For the given matrix and eigenvalue, find an eigenvector corresponding to the eigenvalue. 8) A=-6-2] A= 6 60 16] A) B) Find a formula for Ak, given that A PDP-1, where P and D are given below. [4 11-[5 0] %3D 121
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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Question
![For the given matrix and eigenvalue, find an eigenvector corresponding to the eigenvalue.
8) A=-6-2]
A= 6
60 16]
A)
B)
91
1.
Find a formula for Ak, given that A PDP-1, where P and D are given below.
5 0
%3D
-4 12]
-9 17
A)
4.5k-3.8k 4-8k-4.5k]
[3.5k -3.sk 4.8sk -3.5k|
9) A =
P =
B)
[4.5k -3.sk 4.8k+ 4.5k]
[3.5k + 3.sk 4.8k - 3.5k]
D)
[4.5k+ 3.8k 4.8k+ 4.5k]
[3.5k+3.8k 4.8k+3.5k]
5k 0
sk](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e517d95-0165-4b88-9aae-7baf355dc378%2F967692b4-680b-4856-af62-b6cfb5f815d6%2Fp88k9fm_processed.png&w=3840&q=75)
Transcribed Image Text:For the given matrix and eigenvalue, find an eigenvector corresponding to the eigenvalue.
8) A=-6-2]
A= 6
60 16]
A)
B)
91
1.
Find a formula for Ak, given that A PDP-1, where P and D are given below.
5 0
%3D
-4 12]
-9 17
A)
4.5k-3.8k 4-8k-4.5k]
[3.5k -3.sk 4.8sk -3.5k|
9) A =
P =
B)
[4.5k -3.sk 4.8k+ 4.5k]
[3.5k + 3.sk 4.8k - 3.5k]
D)
[4.5k+ 3.8k 4.8k+ 4.5k]
[3.5k+3.8k 4.8k+3.5k]
5k 0
sk
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