1 -4-2) s) Let A := -2 3 2 4 -8-5 (a) Show that A is diagonalizable and find a nonsingular P such that P-¹AP is a diagonal matrix. (b) Calculate the matrix A2023

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section: Chapter Questions
Problem 17RQ
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Question
7.
-s) Let A :=
1
-2
4
-4 -2
3 2
-8 -5
(a) Show that A is diagonalizable and find a nonsingular P such that P-¹AP is a diagonal
matrix.
(b) Calculate the matrix A2023.
Transcribed Image Text:7. -s) Let A := 1 -2 4 -4 -2 3 2 -8 -5 (a) Show that A is diagonalizable and find a nonsingular P such that P-¹AP is a diagonal matrix. (b) Calculate the matrix A2023.
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