(6) Let 3 A = 2 -1 0 2 -1 - (a) Diagonalize A; (b) Compute the cubic root of A; (c) Compute exp(A). -2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(6) Let
A =
3
2 0
2 -1
(a) Diagonalize A;
(b) Compute the cubic root of A;
(c) Compute exp(A).
-2
-2
Transcribed Image Text:(6) Let A = 3 2 0 2 -1 (a) Diagonalize A; (b) Compute the cubic root of A; (c) Compute exp(A). -2 -2
(7) Let A be as in Problem 5. Solve the following differential equation:
dx
dt
satisfying (0)
=
()
2
3
= Ar
Transcribed Image Text:(7) Let A be as in Problem 5. Solve the following differential equation: dx dt satisfying (0) = () 2 3 = Ar
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