Linear Algebra Quiz
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The general solution to a 2×22 \times 2 system x⃗′=Ax⃗\vec{x}' = A\vec{x} is x⃗(t)=c1e−3t(10)+c2e−3t(01)\vec{x}(t) = c_1 e^{-3t} \begin{pmatrix} 1 \\ 0 \end{pmatrix} + c_2 e^{-3t} \begin{pmatrix} 0 \\ 1 \end{pmatrix}. Which statement about the matrix AA must be true?
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