For 6-9, let A=0 I Answer for #8&9 6.) Find the characters polynomial A [10 – a -9 41= (10 – a) x (2 – a) – (-9) x 4 2- = 20 – 102 – 22 +2² – (-36) = 20 – 121 + a² + 36 = 22 – 121 + 20 + 36 = 22 – 122 + 56 7.) Find the eigenvalues of A 2 = 6 – 2/5ī and 6 + 2/5i 8.) Find eigenvectors corresponding to the eigenvalues of A 9.) Find bases for the eigenspace of A

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.CT: Chapter Test
Problem 9CT
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Question
For 6-9, let A=
Answer for #8&9
6.) Find the characters polynomial A
[10-
2
4
= (10 – 2) x (2 – a) – (-9) x 4
-9
2 -
= 20 – 101 – 22 + 2 – (-36)
= 20 – 121 + 2² + 36
= 22 – 121 + 20 + 36
= 22 – 121 + 56
7.) Find the eigenvalues of A
2 = 6 – 2/5i and 6 + 2v5i
8.) Find eigenvectors corresponding to the eigenvalues of A
9.) Find bases for the eigenspace of A
+ 2.
Transcribed Image Text:For 6-9, let A= Answer for #8&9 6.) Find the characters polynomial A [10- 2 4 = (10 – 2) x (2 – a) – (-9) x 4 -9 2 - = 20 – 101 – 22 + 2 – (-36) = 20 – 121 + 2² + 36 = 22 – 121 + 20 + 36 = 22 – 121 + 56 7.) Find the eigenvalues of A 2 = 6 – 2/5i and 6 + 2v5i 8.) Find eigenvectors corresponding to the eigenvalues of A 9.) Find bases for the eigenspace of A + 2.
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