Let X be the matrix function 0 5te e X (t) = e 0 Determine if X is a fundamental matrix for system x'= Ax with - 1 5 -5 A= - 1 1 0 0 If so, find the solution of the system that satisfies x(0) = -4 -3

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Let X be the matrix function<br>0 5te e<br>X (t) =<br>e<br>0<br>Determine if X is a fundamental matrix for system x'= Ax with<br>- 1<br>5 -5<br>A=<br>- 1<br>1<br>0 0<br>If so, find the solution of the system that satisfies<br>x(0) =<br>-4<br>-3<br>

Extracted text: Let X be the matrix function 0 5te e X (t) = e 0 Determine if X is a fundamental matrix for system x'= Ax with - 1 5 -5 A= - 1 1 0 0 If so, find the solution of the system that satisfies x(0) = -4 -3
5te* e = -3 1 1 5te -t e b) O 2 =-5 - 4 e Not a fundamental solution set. 5te - 5 -t e 5te = -5 e f) O None of the above.

5te*<br>e<br>= -3<br>1<br>1<br>5te<br>-t<br>e<br>b) O 2<br>=-5<br>- 4<br>e<br>Not a fundamental solution set.<br>5te<br>- 5<br>-t<br>e<br>5te<br>= -5<br>e<br>f) O None of the above.<br>

Extracted text: 5te* e = -3 1 1 5te -t e b) O 2 =-5 - 4 e Not a fundamental solution set. 5te - 5 -t e 5te = -5 e f) O None of the above.

Jun 05, 2022

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Let X be the matrix function 0 5te e X (t) = e 0 Determine if X is a fundamental matrix for system x'= Ax with - 1 5 -5 A= - 1 1 0 0 If so, find the solution of the system that satisfies x(0) = -4 -3

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