A matrix A has been factored into the form PDP-¹. -4 -16 -32] 16 36 64 -16 -28 -8 -2 4 4 0 -4 0 0 -10 36 2 4 -1 0 04 0 40 a. State the smallest eigenvalue of A and a basis for its eigenspace. λ = Question Help: Message instructor Basis for eigenspace: { } (Note: Use only as many vectors as you need, from left to right.) b. State the largest eigenvalue of A and a basis for its eigenspace. λ = Basis for eigenspace: { } (Note: Use only as many vectors as you need, from left to right. ) 1711 1 77 77
A matrix A has been factored into the form PDP-¹. -4 -16 -32] 16 36 64 -16 -28 -8 -2 4 4 0 -4 0 0 -10 36 2 4 -1 0 04 0 40 a. State the smallest eigenvalue of A and a basis for its eigenspace. λ = Question Help: Message instructor Basis for eigenspace: { } (Note: Use only as many vectors as you need, from left to right.) b. State the largest eigenvalue of A and a basis for its eigenspace. λ = Basis for eigenspace: { } (Note: Use only as many vectors as you need, from left to right. ) 1711 1 77 77
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![A matrix A has been factored into the form PDP-¹.
-4
-16 -32]
16
36
64
-16 -28
-8
-2
4
4 0 -4 0 0
-10
36
2
4
-1 0 04
0 40
a. State the smallest eigenvalue of A and a basis for its eigenspace.
λ =
Question Help: Message instructor
Basis for eigenspace: {
}
(Note: Use only as many vectors as you need, from left to right.)
b. State the largest eigenvalue of A and a basis for its eigenspace.
λ =
Basis for eigenspace: {
}
(Note: Use only as many vectors as you need, from left to right. )
1711
1
77
77](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6195f099-697f-489e-94ae-c77f1a063c08%2F5a471ad6-ad2f-43a6-bc55-a2a3694af895%2Fhoas59n_processed.png&w=3840&q=75)
Transcribed Image Text:A matrix A has been factored into the form PDP-¹.
-4
-16 -32]
16
36
64
-16 -28
-8
-2
4
4 0 -4 0 0
-10
36
2
4
-1 0 04
0 40
a. State the smallest eigenvalue of A and a basis for its eigenspace.
λ =
Question Help: Message instructor
Basis for eigenspace: {
}
(Note: Use only as many vectors as you need, from left to right.)
b. State the largest eigenvalue of A and a basis for its eigenspace.
λ =
Basis for eigenspace: {
}
(Note: Use only as many vectors as you need, from left to right. )
1711
1
77
77
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