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
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
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 8BEXP
Related questions
Question
![[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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b2b0246-74c5-427f-bbae-6a253749f017%2Fa675a685-28a7-42b5-9f20-4461015c68e4%2Ffnojo1_processed.png&w=3840&q=75)
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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