2 Matrix A is factored in the form PDP. Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace.1.22124.2.0 0 9131L- 04.221 -2124.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 isand ^2 =Bases for the corresponding eigenspaces arerespectively.O B. In ascending order, the two distinct eigenvalues are , =pue,^2 =, and 3 =Bases for the corresponding eigenspaces arerespectively.O C. In ascending order, the three distinct eigenvalues are 2, =pue O

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-/4 1/4 1/2 ー|す - | 00 PDP'. Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace. 1. 2. 0 1 0 3. 8 - 1 L0 0 1 1. 4. 4. w and fill in the answer boxes to complete your choice. tors as needed.) genvalue, 1 = A basis for the corresponding eigenspace is Bases for the corresponding eigenspaces are = Zy pue ,?2=, and g = two distinct eigenvalues are = %3D pue three distinct eigenvalues are y = . Bases for the corresponding eigenspaces are

-/4 1/4 1/2 ー|す - | 00 PDP'. Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace. 1. 2. 0 1 0 3. 8 - 1 L0 0 1 1. 4. 4. w and fill in the answer boxes to complete your choice. tors as needed.) genvalue, 1 = A basis for the corresponding eigenspace is Bases for the corresponding eigenspaces are = Zy pue ,?2=, and g = two distinct eigenvalues are = %3D pue three distinct eigenvalues are y = . 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

Section4.5: Iterative Methods For Computing Eigenvalues

Problem 3EQ

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