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A = 21 131 122 2 2 2 = 2 0 -1 2 -2 0 500 010 001 118 - 100 I −14 118 -14 I 300-14 - 12

A = 21 131 122 2 2 2 = 2 0 -1 2 -2 0 500 010 001 118 - 100 I −14 118 -14 I 300-14 - 12

Advanced Engineering Mathematics
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 Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace. 1 4 A = 221 13 1 122 2 2 2 2 0 - 1 2-2 0 500 01 001 1 8 1 8 1 4 1 4 1 8 3 8 1 1 2 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 = O B. In ascending order, the two distinct eigenvalues are ₁ = OC. In ascending order, the three distinct eigenvalues are ₁ =₁^₂= {}, respectively. A basis for the corresponding eigenspace is { }. and 2₂ = Bases for the corresponding eigenspaces are { } and { }, respectively. {1},{1}, and and 23. Bases for the corresponding eigenspaces are =
Transcribed Image Text:Matrix A is factored in the form PDP Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace. 1 4 A = 221 13 1 122 2 2 2 2 0 - 1 2-2 0 500 01 001 1 8 1 8 1 4 1 4 1 8 3 8 1 1 2 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 = O B. In ascending order, the two distinct eigenvalues are ₁ = OC. In ascending order, the three distinct eigenvalues are ₁ =₁^₂= {}, respectively. A basis for the corresponding eigenspace is { }. and 2₂ = Bases for the corresponding eigenspaces are { } and { }, respectively. {1},{1}, and and 23. Bases for the corresponding eigenspaces are =
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