Let X be the matrix function 0 4te e -t X(t) -t e2 1 O 1 O Determine if X is a fundamental matrix for system x '= Ax with -1 4-4 A= -1 1 O 0 O If so, find the solution of the system that satisfies -3 x(0) -4 -4

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 72E: Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.
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Please find the problem statement attached.

Let X be the matrix function
0 4te e
-t
X(t)
-t
e2
1
O
1
O
Determine if X is a fundamental matrix for system x '= Ax with
-1
4-4
A=
-1
1
O
0
O
If so, find the solution of the system that satisfies
-3
x(0)
-4
-4
Transcribed Image Text:Let X be the matrix function 0 4te e -t X(t) -t e2 1 O 1 O Determine if X is a fundamental matrix for system x '= Ax with -1 4-4 A= -1 1 O 0 O If so, find the solution of the system that satisfies -3 x(0) -4 -4
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