Determine If the Vector P Is in Span S or Aff

question 19

Multiple Choice

Determine if the vector p is in Span S or aff S.
- $\text { Let } \mathbf{v}_{1}=\left[\begin{array}{r}2 \\1 \\3 \\-2\end{array}\right], \mathbf{v}_{2}=\left[\begin{array}{r}3 \\-1 \\0 \\4\end{array}\right], \mathbf{v}_{3}=\left[\begin{array}{r}5 \\4 \\-1 \\-2\end{array}\right], p=\left[\begin{array}{r}5 \\-3 \\5 \\3\end{array}\right] \text {, and } \mathrm{S}=\left\{\mathbf{v}_{1}, \mathbf{v}_{2}, \mathbf{v}_{3}\right\} \text {. It can be shown that } \mathrm{S} \text { is linearly }$ independent.

• A) \(\mathbf { p } \in\) span \(S\) and \(\mathbf { p } \notin\) aff \(S\)
• B) \(\mathbf { p } \notin \operatorname { span } S\) and \(\mathbf { p } \in\) aff \(S\)
• C) \(\mathbf { p } \in \operatorname { span } S\) and \(\mathbf { p } \in\) aff \(S\)
• D) \(\mathbf { p } \notin \operatorname { span } S\) and \(\mathbf { p } \notin\) aff \(S\)

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Organizations formed to represent the concerns and aims of specific groups and interests in political and policy-making processes, often lobbying for favorable legislation and regulation.

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Groups of workers united in trade unions or similar organizations to protect their rights and advocate for better conditions and wages.

Hiram Johnson

An American political leader known for his progressive reforms as the Governor of California and later as a U.S. Senator.