Suppose that a 2 x 2 matrix A has an eigenvalue 2 with corresponding eigenvector [22] and an eigenvalue - 2 with corresponding eigenvector 4 Find an invertible matrix P and a diagonal matrix D so that A = PDP-1. Enter your answer as an equation of the form A = PDP-1. You must enter a number in every answer blank for the answer evaluator to work properly

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 8BEXP
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[4]
Suppose that a 2 x 2 matrix A has an eigenvalue 2 with corresponding eigenvector
and an eigenvalue -2 with corresponding eigenvector
[4]
Find an invertible matrix P and a diagonal matrix D so that A = PDP-¹. Enter your answer as an equation of the form A = PDP-1. You must enter a
number in every answer blank for the answer evaluator to work properly.
Transcribed Image Text:[4] Suppose that a 2 x 2 matrix A has an eigenvalue 2 with corresponding eigenvector and an eigenvalue -2 with corresponding eigenvector [4] Find an invertible matrix P and a diagonal matrix D so that A = PDP-¹. Enter your answer as an equation of the form A = PDP-1. You must enter a number in every answer blank for the answer evaluator to work properly.
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