Determine Whether {V₁, V₂, V₃} Is a Basis for R³

question 32

Multiple Choice

Determine whether {v₁, v₂, v₃} is a basis for R³
- $$B = \left\{ \left[ \begin{array} { r } - 2 \\2\end{array} \right] , \left[ \begin{array} { l } 0 \\1\end{array} \right] \right\} , [ \mathrm { x } ] _ { B } = \left[ \begin{array} { r } - 5 \\5\end{array} \right]$$

• A)
• \(\left[ \begin{array} { r } - 2 \\ 3 \end{array} \right]\)
• B)
• \(\left[ \begin{array} { c } 10 \\ - 5 \end{array} \right]\)
• C)
• \(\left[ \begin{array} { r } 10 \\ 5 \end{array} \right]\)
• D)
• \(\left[ \begin{array} { r } - 10 \\ - 5 \end{array} \right]\)

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Individuals who inspire and motivate others through their personal magnetism, communication skills, and ability to instill belief in a vision.

Conservative

A political and social philosophy that promotes retaining traditional social institutions and values, often with resistance to rapid change.

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The act of engaging in activities that involve uncertainty with the potential for a significant positive or negative outcome.

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A leader who inspires followers to exceed their own self-interest for the good of the organization by effecting deep, substantial change.