Matrix A is factored in the form PDP Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace. 211 A = 232 112 12 20 2 500 010 = 2 0-2 1-2 0 001 1 7|4 414 118 114 118 114 14 4 3 2|0|w 8 4 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 = OB. In ascending order, the two distinct eigenvalues are ₁ and 2 = eigenspaces are { and {}, respectively. A basis for the corresponding eigenspace is = OC. In ascending order, the three distinct eigenvalues are ₁=d₂ =| corresponding eigenspaces are {} {}, and {}, respectively. Bases for the corresponding and A3 = Bases for the
Matrix A is factored in the form PDP Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace. 211 A = 232 112 12 20 2 500 010 = 2 0-2 1-2 0 001 1 7|4 414 118 114 118 114 14 4 3 2|0|w 8 4 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 = OB. In ascending order, the two distinct eigenvalues are ₁ and 2 = eigenspaces are { and {}, respectively. A basis for the corresponding eigenspace is = OC. In ascending order, the three distinct eigenvalues are ₁=d₂ =| corresponding eigenspaces are {} {}, and {}, respectively. Bases for the corresponding and A3 = Bases for the
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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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.
211
A = 2 3 2
112
2
500
0 1 0
0-2
1-2 0 001
1
= 2
2
4
1
1
8 8
1
1
4
4
1
4
**
1
4
3
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 ₁ and ₂
eigenspaces are {} and {}, respectively.
OC. In ascending order, the three distinct eigenvalues are X₁ =₁^₂ =
corresponding eigenspaces are 00, and
respectively.
Bases for the corresponding
and A3 =
Bases for the
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