Matrix A is factored in the form PDP- 1. Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace. 20-5 -5 0 1 - 3 0 0 00 1 A= 23 10 = 0 1 2 030 2 1 10 00 3 100 002 -10-5 Select the correct choice below and fill in the answer boxes to complete your choice. (Use a comma to separate vectors as needed.) OA. There is one distinct eigenvalue, λ=| A basis for the corresponding eigenspace is { }. B. In ascending order, the two distinct eigenvalues are λ₁ = Bases for the corresponding eigenspaces are { })} and { OC. In ascending order, the three distinct eigenvalues are λ₁ =| Bases for the corresponding eigenspaces are 2/3 = respectively. and 2 }, respectively. 22 { = and and
Matrix A is factored in the form PDP- 1. Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace. 20-5 -5 0 1 - 3 0 0 00 1 A= 23 10 = 0 1 2 030 2 1 10 00 3 100 002 -10-5 Select the correct choice below and fill in the answer boxes to complete your choice. (Use a comma to separate vectors as needed.) OA. There is one distinct eigenvalue, λ=| A basis for the corresponding eigenspace is { }. B. In ascending order, the two distinct eigenvalues are λ₁ = Bases for the corresponding eigenspaces are { })} and { OC. In ascending order, the three distinct eigenvalues are λ₁ =| Bases for the corresponding eigenspaces are 2/3 = respectively. and 2 }, respectively. 22 { = and and
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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Transcribed Image Text:Matrix A is factored in the form PDP- 1. Use the Diagonalization Theorem to find the
eigenvalues of A and a basis for each eigenspace.
20-5
-5 0 1
-
3 0 0
00 1
A= 23 10 =
0 1
2
030
2 1 10
00 3
100
002
-10-5
Select the correct choice below and fill in the answer boxes to complete your choice.
(Use a comma to separate vectors as needed.)
OA. There is one distinct eigenvalue, λ=| A basis for the corresponding
eigenspace is { }.
B. In ascending order, the two distinct eigenvalues are λ₁ =
Bases for the corresponding eigenspaces are { })} and {
OC. In ascending order, the three distinct eigenvalues are λ₁ =|
Bases for the corresponding eigenspaces are
2/3 =
respectively.
and 2
}, respectively.
22
{
=
and
and
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