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Consider the system x' = Ax for 1 3 A 0 2 Find eAt. (That is, find a fundamental matrix (t) with (0) = I).

Consider the system x' = Ax for 1 3 A 0 2 Find eAt. (That is, find a fundamental matrix (t) with (0) = I).

Advanced Engineering Mathematics
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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Question

Consider the system x0 = Ax for

A = 

1 3

0 2

 .

Find eAt . (That is, fifind a fundamental matrix Φ(t) with Φ(0) = I).

Consider the system x' = Ax for 1 3 A 0 2 Find eAt. (That is, find a fundamental matrix (t) with (0) = I).
Transcribed Image Text:Consider the system x' = Ax for 1 3 A 0 2 Find eAt. (That is, find a fundamental matrix (t) with (0) = I).
Expert Solution
Step 1

Given information

System is

x'=Ax.

Here, A=1302

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