Consider the following. 13 -30 -2 -3 A = 2²-[33] P = 5-12 -1 -1 (a) Verify that A is diagonalizable by computing P-¹AP. P-¹AP = (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. (2₁, 2₂) =
Consider the following. 13 -30 -2 -3 A = 2²-[33] P = 5-12 -1 -1 (a) Verify that A is diagonalizable by computing P-¹AP. P-¹AP = (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. (2₁, 2₂) =
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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Question
4y sadwadasfefdaw
![Consider the following.
13 -30
-2 -3
A =
2] F · [
P =
5-12
-1 -1
(a) Verify that A is diagonalizable by computing P-¹AP.
P-¹AP =
↓ 1
(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.
(2₁, 2₂) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56c1d2cf-e8ec-4520-bbe0-3cf55efdd803%2Fd9adf86e-fe6b-4f1b-8368-db1c741370e5%2Fjchu9wr_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following.
13 -30
-2 -3
A =
2] F · [
P =
5-12
-1 -1
(a) Verify that A is diagonalizable by computing P-¹AP.
P-¹AP =
↓ 1
(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.
(2₁, 2₂) =
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