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 = 212 2 2 2 = 2 0-2 122 1 1 3 500 0 10 21 0 0 0 1 1 are 1 1 4 4 1 1 ∞ نيا 1 7 → NI→ 2 7 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, >= A basis for the corresponding eigenspace is and 2₂= B. In ascending order, the two distinct eigenvalues are >,= and respectively. O C. In ascending order, the three distinct eigenvalues are λ = and , respectively. ₁2₂= Bases for the corresponding eigenspaces are and A3 = Bases for the corresponding eigenspaces
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 = 212 2 2 2 = 2 0-2 122 1 1 3 500 0 10 21 0 0 0 1 1 are 1 1 4 4 1 1 ∞ نيا 1 7 → NI→ 2 7 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, >= A basis for the corresponding eigenspace is and 2₂= B. In ascending order, the two distinct eigenvalues are >,= and respectively. O C. In ascending order, the three distinct eigenvalues are λ = and , respectively. ₁2₂= Bases for the corresponding eigenspaces are and A3 = Bases for the corresponding eigenspaces
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.
A =
212 2 2 2
= 2 0-2
122
1 1 3
500
0 10
21 0 0 0 1
1
1
4
are
1
∞
1
1
4
نيا
1
7
دان
2
1
7
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, >= A basis for the corresponding eigenspace is
and ₂ =
B. In ascending order, the two distinct eigenvalues are >=
and
respectively.
O C. In ascending order, the three distinct eigenvalues are λ =
1.1, and 1, respectively.
2₂ =
Bases for the corresponding eigenspaces are
and A3 =
Bases for the corresponding eigenspaces
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