Please answer correctly following the same format as the questions. Box the correct answer and I will give a thumbs up if the answer is correct, a thumbs down if answer is incorrect. Chapter 7.1 question 5

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 6BEXP
icon
Related questions
Question

Please answer correctly following the same format as the questions. Box the correct answer and I will give a thumbs up if the answer is correct, a thumbs down if answer is incorrect.

Chapter 7.1 question 5

Suppose that a 2 x 2 matrix A has an eigenvalue 2 with corresponding eigenvector
1
and an
eigenvalue –1 with corresponding eigenvector
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:Suppose that a 2 x 2 matrix A has an eigenvalue 2 with corresponding eigenvector 1 and an eigenvalue –1 with corresponding eigenvector 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.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning