Let A := 1 -4 -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
Let A := 1 -4 -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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:7.
Let A :=
-2
4
-4
3 2
-8-5
ㅋ
(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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