Find a fundamental matrix for the system x'(t) = Ax(t) for the given matrix A. A = 13 42 - 1 0 Choose the correct answer below. O A. X(t) O c. X(t)= 6t -6e -7e e 6t 7t e e 7t 7t 6t -6e7t-7e6t OB. X(t)= D. X(t)= e 6t e e -6e6t -7e7t -6e7t-7e6t 7t 7t e 6t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 31E
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Find a fundamental matrix for the system x'(t) = Ax(t) for the given matrix A.
13 42
- 1 0
A =
Choose the correct answer below.
O A. X(t)
O c. X(t)=
6t
-6e -7e
e
6t
7t
e
e
7t
7t
6t
-6e7t-7e6t
OB. X(t)=
D. X(t)=
e
6t
e
e
-6e6t -7e7t
-6e7t-7e6t
7t
7t
e
6t
Transcribed Image Text:Find a fundamental matrix for the system x'(t) = Ax(t) for the given matrix A. 13 42 - 1 0 A = Choose the correct answer below. O A. X(t) O c. X(t)= 6t -6e -7e e 6t 7t e e 7t 7t 6t -6e7t-7e6t OB. X(t)= D. X(t)= e 6t e e -6e6t -7e7t -6e7t-7e6t 7t 7t e 6t
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