Consider the following. -7 24 *R*PRED] , P = (a) Verify that A is diagonalizable by computing P-¹AP. A = -2 P-¹AP = (2₁, 2₂)=1 -28/3 Need Help? 98/3 (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. 14/3 -49/3 Read It T X

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1.
DETAILS
Consider the following.
-[-2²4]. P.
=
A =
[4]
(a) Verify that A is diagonalizable by computing P-¹AP.
P-¹AP =
X
-28/3
(2₁, 2₂) =
98/3
PREVIOUS ANSWERS
Need Help? Read It
14/3
-49/3
11
(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.
LARLINALG8 7.2.001. 2/100 Submissions Used
←
X
Transcribed Image Text:1. DETAILS Consider the following. -[-2²4]. P. = A = [4] (a) Verify that A is diagonalizable by computing P-¹AP. P-¹AP = X -28/3 (2₁, 2₂) = 98/3 PREVIOUS ANSWERS Need Help? Read It 14/3 -49/3 11 (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. LARLINALG8 7.2.001. 2/100 Submissions Used ← X
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