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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. 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
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. 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
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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