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 \(S\)

---

Definitions:

VARK Score

A measurement derived from a questionnaire that identifies individual learning preferences across four categories: Visual, Aural, Read/Write, Kinesthetic.

Propose

To suggest a plan, idea, or action for consideration.

Learning Style

An individual's preferred method of gathering, processing, interpreting, organizing, and thinking about information.

Overcome

Successfully dealing with or gaining control of a problem, obstacle, or difficulty.