4. For given matrix A= -1 3 32 0 a. find (i.) characteristic polynomial (ii.) eigenvalues (iii.) eigenvectors b. Show A is diagonalizable then find a nonsingular matrix P and P¹ such that P-¹AP is a diagonal matrix. Hint: λ=1, 3, -2

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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32 -2
4. For given matrix A= -1 3
a. find (i.) characteristic polynomial
(ii.) eigenvalues
(iii.) eigenvectors
b. Show A is diagonalizable then find a nonsingular matrix P and P¹ such that P-¹AP is a diagonal
matrix.
Hint: λ=1, 3, -2
Transcribed Image Text:0 0 32 -2 4. For given matrix A= -1 3 a. find (i.) characteristic polynomial (ii.) eigenvalues (iii.) eigenvectors b. Show A is diagonalizable then find a nonsingular matrix P and P¹ such that P-¹AP is a diagonal matrix. Hint: λ=1, 3, -2
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