Find the general solution to the system x' = Ax where A is the given matrix. -1 4 A= -1 3 2 +C. e - 1 a) x(t)= C, e +te -1 b) O x(t)= C, e* + C,te -2 2 - 1 c) O x(t)= C, e + C. e 2 2 +te - 1 + 2 -t - 1 d) O x(1)= C, e -t e +te 1 - 1 O x(t)= C, e te f) O None of the above.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 72E: Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by...
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Find the general solution to the system x' = Ax where A is the given matrix.
-1 4
A=
-1 3
2
- 1
a)
x(t)= C, e
+C.e
2
+te
1
-1
b) O x(1)= C, e*
+ C,te
-2
2
- 1
c) O x(t)= C, e
+ C.e
2
2
+te
- 1
+
2
-t
-1
d) O x(t)= C, e
-t
e
+te
1
+ C, te
-2
- 1
O (t)= C, e
f)
None of the above.
Transcribed Image Text:Find the general solution to the system x' = Ax where A is the given matrix. -1 4 A= -1 3 2 - 1 a) x(t)= C, e +C.e 2 +te 1 -1 b) O x(1)= C, e* + C,te -2 2 - 1 c) O x(t)= C, e + C.e 2 2 +te - 1 + 2 -t -1 d) O x(t)= C, e -t e +te 1 + C, te -2 - 1 O (t)= C, e f) None of the above.
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