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. A = 2 1 1 1 2 1 112 1 2 1 = 1 0 - 1 1 -2 0 400 010 001 1 1 3 3 1 1 6 6 1 3 1 3 1 3 2 1 3 3 Select the correct choice below and fill in the answer boxes to complete your choice. (Use a comma to separate vectors as needed.) A. There is one distinct eigenvalue, λ =. A basis for the corresponding eigenspace is OB. In ascending order, the two distinct eigenvalues are ₁ = corresponding eigenspaces are { } and { }, respectively. C. In ascending order, the three distinct eigenvalues are ₁ Bases for the corresponding eigenspaces are {}, { }, and { }, respectively. ₁^₂= and 23 = and ₂= Bases for the
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. A = 2 1 1 1 2 1 112 1 2 1 = 1 0 - 1 1 -2 0 400 010 001 1 1 3 3 1 1 6 6 1 3 1 3 1 3 2 1 3 3 Select the correct choice below and fill in the answer boxes to complete your choice. (Use a comma to separate vectors as needed.) A. There is one distinct eigenvalue, λ =. A basis for the corresponding eigenspace is OB. In ascending order, the two distinct eigenvalues are ₁ = corresponding eigenspaces are { } and { }, respectively. C. In ascending order, the three distinct eigenvalues are ₁ Bases for the corresponding eigenspaces are {}, { }, and { }, respectively. ₁^₂= and 23 = and ₂= 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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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.
1 2 1 400
BHB
121 = 10 1 010
1 - 2 0 001
A =
2 1 1
1 12
1
3
1
3
-13
-16
W|N
دامه داده
w|→
3
Select the correct choice below and fill in the answer boxes to complete your choice.
(Use a comma to separate vectors as needed.)
O A. There is one distinct eigenvalue, λ =
A basis for the corresponding eigenspace is
=
O B. In ascending order, the two distinct eigenvalues are 2₁
corresponding eigenspaces are { } and { }, respectively.
and ₂
=
₂2₂ =
"
Bases for the
and 23
=
OC. In ascending order, the three distinct eigenvalues are ₁
Bases for the corresponding eigenspaces are {}},{
{}, and, respectively.
=
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