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 8 4 8 2 2 1 2 2 5 0 0 3 A = 1 3 1 = 2 0 - 1 0 1 0 8 4 1 2 2 2 -2 0 0 1 1 1 4 4. 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, 1 = A basis for the corresponding eigenspace is { }. O B. In ascending order, the two distinct eigenvalues are , = and 2 = Bases for the corresponding eigenspaces are and {}. O C. In ascending order, the three distinct eigenyalues are M = and λ Bases for the corresponding eigenspaces are
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 8 4 8 2 2 1 2 2 5 0 0 3 A = 1 3 1 = 2 0 - 1 0 1 0 8 4 1 2 2 2 -2 0 0 1 1 1 4 4. 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, 1 = A basis for the corresponding eigenspace is { }. O B. In ascending order, the two distinct eigenvalues are , = and 2 = Bases for the corresponding eigenspaces are and {}. O C. In ascending order, the three distinct eigenyalues are M = and λ Bases for the corresponding eigenspaces are
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
Problem 24EQ
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