Suppose that A is an n x n matrix. The steps for diagonalizing A are shown below, in a random order. Put these steps in the proper order using the drop-down boxes. Select an answer Find the eigenvalues of A. Select an answer ✓ Find n linearly independent eigenvectors of A. Select an answer Check that A PDP-1. Select an answer Construct P and D from the vectors and eigenvalues you found.

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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Suppose that A is an n x n matrix. The steps for diagonalizing A are shown below, in a random order. Put
these steps in the proper order using the drop-down boxes.
Select an answer ✓ Find the eigenvalues of A.
Select an answer
Select an answer
Select an answer
Find n linearly independent eigenvectors of A.
Check that A = PDP-¹.
Construct P and D from the vectors and eigenvalues you found.
Transcribed Image Text:Suppose that A is an n x n matrix. The steps for diagonalizing A are shown below, in a random order. Put these steps in the proper order using the drop-down boxes. Select an answer ✓ Find the eigenvalues of A. Select an answer Select an answer Select an answer Find n linearly independent eigenvectors of A. Check that A = PDP-¹. Construct P and D from the vectors and eigenvalues you found.
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