Exercise 3.3.1 In each case find the characteristic poly- nomial, eigenvalues, eigenvectors, and (if possible) an in- vertible matrix P such that P-¹AP is diagonal. 12 a. A = b. A = 32 [ 2-4 - -1 -1 70-4 c. A = 05 0 50-2 1-2 3 e. A = 2 6-6 1 2 -1 ] f. A = 11-3 d. A = 206 1-15 0 1 0 301 200 3 1 1 2 1 1 g. A = -4-2-5 h. A = 0 1 0 225 1 -1 2
Exercise 3.3.1 In each case find the characteristic poly- nomial, eigenvalues, eigenvectors, and (if possible) an in- vertible matrix P such that P-¹AP is diagonal. 12 a. A = b. A = 32 [ 2-4 - -1 -1 70-4 c. A = 05 0 50-2 1-2 3 e. A = 2 6-6 1 2 -1 ] f. A = 11-3 d. A = 206 1-15 0 1 0 301 200 3 1 1 2 1 1 g. A = -4-2-5 h. A = 0 1 0 225 1 -1 2
Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![Exercise 3.3.1 In each case find the characteristic poly-
nomial, eigenvalues, eigenvectors, and (if possible) an in-
vertible matrix P such that P-¹AP is diagonal.
12
a. A =
b. A =
32
[
2-4
-
-1 -1
70-4
c. A =
05 0
50-2
1-2
3
e. A =
2
6-6
1
2 -1
]
f. A =
11-3
d. A = 206
1-15
0 1 0
301
200
3 1 1
2
1
1
g. A =
-4-2-5
h. A =
0
1 0
225
1
-1 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1942d21f-1f68-402e-935c-586383b38458%2F058b1ea1-7751-4dad-ab7b-39ed755411ce%2Fg08q7bg_processed.png&w=3840&q=75)
Transcribed Image Text:Exercise 3.3.1 In each case find the characteristic poly-
nomial, eigenvalues, eigenvectors, and (if possible) an in-
vertible matrix P such that P-¹AP is diagonal.
12
a. A =
b. A =
32
[
2-4
-
-1 -1
70-4
c. A =
05 0
50-2
1-2
3
e. A =
2
6-6
1
2 -1
]
f. A =
11-3
d. A = 206
1-15
0 1 0
301
200
3 1 1
2
1
1
g. A =
-4-2-5
h. A =
0
1 0
225
1
-1 2
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