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

question 20

Multiple Choice

Determine whether {v₁, v₂, v₃} is a basis for R³
- $$\mathbf { v } _ { 1 } = \left[ \begin{array} { r } - 2 \\4 \\- 8\end{array} \right] , \mathbf { v } _ { 2 } = \left[ \begin{array} { l } 1 \\0 \\3\end{array} \right] , \mathbf { v } _ { 3 } = \left[ \begin{array} { r } 4 \\- 4 \\14\end{array} \right]$$

• A) Yes
• B) No

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Definitions:

Two-Factor Theory

A psychological theory, often applied to emotion or motivation, suggesting that an experience or emotion arises from the combination of a cognitive appraisal and a physiological response.

Cognitive Appraisal

The process of evaluating and interpreting a situation or event that determines its significance and the type of emotional response it elicits.

Cannon-Bard Theory

A theory of emotion that argues emotions and physiological responses occur simultaneously and independently.

Cannon-Bard Theory

The Cannon-Bard theory of emotion asserts that we experience physiological arousal and emotional feelings simultaneously, not sequentially, in response to a stimulus.