1.7 EXERCISES
In Exercises 1-4, determine if the vectors are linearly independent. Justify each answer.
5. \( \left[\begin{array}{rrr}0 & -3 & 9 \\ 2 & 1 & -7 \\ -1 & 4 & -5 \\ 1 & -4 & -2\end{array}\right] \)
6. \( \left[\begin{array}{rrr}-4 & -3 & 0 \\ 0 & -1 & 5 \\ 1 & 1 & -5 \\ 2 & 1 & -10\end{array}\right] \)
1. \( \left[\begin{array}{l}5 \\ 0 \\ 0\end{array}\right],\left[\begin{array}{r}7 \\ 2 \\ -6\end{array}\right],\left[\begin{array}{r}9 \\ 4 \\ -8\end{array}\right] \)
2. \( \left[\begin{array}{l}0 \\ 2 \\ 3\end{array}\right],\left[\begin{array}{r}0 \\ 0 \\ -8\end{array}\right],\left[\begin{array}{r}-1 \\ 3 \\ 1\end{array}\right] \)
7. \( \left[\begin{array}{rrrr}1 & 4 & -3 & 0 \\ -2 & -7 & 5 & 1 \\ -4 & -5 & 7 & 5\end{array}\right] \)
8. \( \left[\begin{array}{rrrr}1 & -2 & 3 & 2 \\ -2 & 4 & -6 & 2 \\ 0 & 1 & -1 & 3\end{array}\right] \)