Determine Whether {V1, V2, V3} Is a Basis For , And

question 17

Multiple Choice

Determine whether {v1, v2, v3} is a basis for
$\mathbf { b } _ { 1 } = \left[ \begin{array} { l } 1 \\ 1 \end{array} \right] , \mathbf { b } _ { 2 } = \left[ \begin{array} { r } 1 \\ - 1 \end{array} \right] , \mathbf { x } = \left[ \begin{array} { r } 3 \\ - 5 \end{array} \right]$ , and $B = \left\{ \mathbf { b } _ { 1 } , \mathbf { b } _ { 2 } \right\}$



- $$B = \left\{ \left[ \begin{array} { r } 1 \\- 3 \\- 3\end{array} \right] , \left[ \begin{array} { r } - 3 \\8 \\- 3\end{array} \right] , \left[ \begin{array} { r } 2 \\- 2 \\2\end{array} \right] \right\} , [ \mathrm { x } ] B = \left[ \begin{array} { r } - 4 \\2 \\- 3\end{array} \right]$$

• A) \(\left[ \begin{array} { r } - 10 \\ 34 \\ 8 \end{array} \right]\)
• B) \(\left[ \begin{array} { r } 0 \\ 6 \\ 12 \end{array} \right]\)
• C) \(\left[ \begin{array} { r } 8 \\ - 32 \\ 0 \end{array} \right]\)
• D) \(\left[ \begin{array} { r } - 16 \\ 34 \\ 0 \end{array} \right]\)

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Definitions:

Education on Diversity

Educational programs or practices aimed at increasing awareness, understanding, and appreciation of diverse cultures, perspectives, and backgrounds.

Planning Function

The process of setting goals, outlining strategies to achieve those goals, and developing plans to integrate and coordinate activities.

Management

The process of planning, organizing, leading, and controlling resources to achieve organizational goals.

Direction

Guidance or instructions given to manage or steer actions or decisions towards achieving a specific goal.