et Let M: 3e be a fundamental matrix for the system X' = AX. Find the exponential matrix eAt. e 2t 2e ef – 3e2t O [et - 2t \ 3e et 3e -e2t 2e2t et 3e' -3e2t e 2t none

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 13E
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e!
Let M=
be a fundamental matrix for the system X' = AX. Find the exponential matrix eAt.
3e
e 2t
2e
-3e2t
- 2t
et
3e
-e2t
et
3e' - e2t
2e2t
et
3e' -3e2t
e2t
none
Transcribed Image Text:e! Let M= be a fundamental matrix for the system X' = AX. Find the exponential matrix eAt. 3e e 2t 2e -3e2t - 2t et 3e -e2t et 3e' - e2t 2e2t et 3e' -3e2t e2t none
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