Solved: In 1720, the given vectors are solutions of a system X AX. Determine whether the
Chapter 10, Problem 19(choose chapter or problem)
In Problems 17-20, the given vectors are solutions of a system \(\mathbf{X}^{\prime}=\mathbf{A X}\). Determine whether the vectors form a fundamental set on the interval \((-\infty, \infty)\).
\(\mathbf{X}_{1}=\left(\begin{array}{r}1 \\ -2 \\ 4\end{array}\right)+t\left(\begin{array}{l}1 \\ 2 \\ 2\end{array}\right), \mathbf{X}_{2}=\left(\begin{array}{r}1 \\ -2 \\ 4\end{array}\right), \mathbf{X}_{3}=\left(\begin{array}{r}3 \\-6 \\12 \end{array}\right)+t\left(\begin{array}{l} 2 \\ 4 \\ 4 \end{array}\right)\)
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