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nd an invertible 2 x 2 matrix P and a 2 x 2 diagonal matrix D such that P-¹ AP = D, and determine the matrix A.

nd an invertible 2 x 2 matrix P and a 2 x 2 diagonal matrix D such that P-¹ AP = D, and determine the matrix A.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 36EQ: Consider again the matrix A in Exercise 35. Give conditions on a, b, c, and d such that A has two...
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[2] Find an invertible 2 x 2 matrix P and a 2 x 2 diagonal matrix D such that P-¹ AP = D, and determine the matrix A. P = D: Suppose that a 2 × 2 matrix A has an eigenvalue 3 with corresponding eigenvector and an eigenvalue -2 with corresponding eigenvector [B]
Transcribed Image Text:[2] Find an invertible 2 x 2 matrix P and a 2 x 2 diagonal matrix D such that P-¹ AP = D, and determine the matrix A. P = D: Suppose that a 2 × 2 matrix A has an eigenvalue 3 with corresponding eigenvector and an eigenvalue -2 with corresponding eigenvector [B]
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