Solve the Problem Determine If the Set $\left\{ \mathbf { v } _ { \mathbf { 1 } } , \mathbf { v } _ { \mathbf { 2 } } , \mathbf { v } _ { \mathbf { 3 } } \right\}$

question 78

Multiple Choice

Solve the problem.
-Let $\mathbf { v } _ { \mathbf { 1 } } = \left[ \begin{array} { r } 1 \\ - 3 \\ 5 \end{array} \right] , \mathbf { v } _ { \mathbf { 2 } } = \left[ \begin{array} { r } - 3 \\ 8 \\ 3 \end{array} \right] , \mathbf { v } _ { 3 } = \left[ \begin{array} { r } 2 \\ - 2 \\ - 6 \end{array} \right]$
Determine if the set $\left\{ \mathbf { v } _ { \mathbf { 1 } } , \mathbf { v } _ { \mathbf { 2 } } , \mathbf { v } _ { \mathbf { 3 } } \right\}$ is linearly independent.

• A) \(\mathrm { No }\)
• B) Yes

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