Let A 2 V2 are eigenvectors 3. Let A be a 4 x 4 m the eigenspace for determine if A is WEB 5.3 EXERCISES In Exercises 1 and 2, let A = PDP- and compute A". -[3.D-1 5 1. Р %3 7 2 0 2 0 2. P = 2 -3 0 Р : D = 5 11 -3 1/2 In Exercises 3 and 4, use the factorization A = PDP to pute A, where k represents an arbitrary positive integer. [Sa-b -[ ] 1 а 3. 3(а - b) Ь 1 0 3 ]-6 -1 4 2 4 12 -2 4. 1-3 1 0 1 5 -1 In Exercises 5 and 6, the matrix A is factored in the form Use the Diagonalization Theorem to find the eigenvalues

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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I am stuck on problem 2. I tried doing P inverse, but I would get [5 3;3 2] as my matrix,but it wasn't correct. I woulf really appreciate the help with this problem.

Let A
2
V2 are eigenvectors
3. Let A be a 4 x 4 m
the eigenspace for
determine if A is
WEB
5.3 EXERCISES
In Exercises 1 and 2, let A = PDP- and compute A".
-[3.D-1
5
1. Р %3
7
2
0
2
0
2. P =
2
-3
0
Р :
D =
5
11
-3
1/2
In Exercises 3 and 4, use the factorization A = PDP to
pute A, where k represents an arbitrary positive integer.
[Sa-b -[ ]
1
а
3.
3(а - b)
Ь
1
0
3
]-6
-1
4
2
4
12
-2
4.
1-3
1
0
1
5
-1
In Exercises 5 and 6, the matrix A is factored in the form
Use the Diagonalization Theorem to find the eigenvalues
Transcribed Image Text:Let A 2 V2 are eigenvectors 3. Let A be a 4 x 4 m the eigenspace for determine if A is WEB 5.3 EXERCISES In Exercises 1 and 2, let A = PDP- and compute A". -[3.D-1 5 1. Р %3 7 2 0 2 0 2. P = 2 -3 0 Р : D = 5 11 -3 1/2 In Exercises 3 and 4, use the factorization A = PDP to pute A, where k represents an arbitrary positive integer. [Sa-b -[ ] 1 а 3. 3(а - b) Ь 1 0 3 ]-6 -1 4 2 4 12 -2 4. 1-3 1 0 1 5 -1 In Exercises 5 and 6, the matrix A is factored in the form Use the Diagonalization Theorem to find the eigenvalues
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