Solution: In 21–24, the given vector functions are solutions
Chapter 9, Problem 21E(choose chapter or problem)
In Problems 21–24, the given vector functions are solutions to the system \(x^{\prime}(t)=A x(t)\) Determine whether they form a fundamental solution set. If they do, find a fundamental matrix for the system and give a general solution.
\(x_{1}=e^{2 t}\left[\begin{array}{r} 1 \\ -2 \end{array}\right]\)
\(x_{2}=e^{2 t}\left[\begin{array}{r} -2 \\ 4 \end{array}\right]\)
Equation Transcription:
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Text Transcription:
x'(t)=Ax(t)
x1=e2t[ -2 1 ]
x2=e2t[ 4 -2 ]
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