Consider the following. 3 20 P = -1 -6 (a) Verify that A is diagonalizable by computing P-lAP. p-AP = (b) Use the result of part (a) and the theorem below to find the eigenvalues of A. Similar Matrices Have the Same Eigenvalues If A and B are similar n x n matrices, then they have the same eigenvalues. (A1, 12) =

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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Consider the following.
3
20
P =
-1
-6
(a) Verify that A is diagonalizable by computing P-lAP.
p-AP =
(b) Use the result of part (a) and the theorem below to find the eigenvalues of A.
Similar Matrices Have the Same Eigenvalues
If A and B are similar n x n matrices, then they have the same eigenvalues.
(A1, 12) =
Transcribed Image Text:Consider the following. 3 20 P = -1 -6 (a) Verify that A is diagonalizable by computing P-lAP. p-AP = (b) Use the result of part (a) and the theorem below to find the eigenvalues of A. Similar Matrices Have the Same Eigenvalues If A and B are similar n x n matrices, then they have the same eigenvalues. (A1, 12) =
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