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:

Decision Makers

Individuals or groups responsible for making choices that determine the course of actions to be followed by an organization or system.

Public Good

A public good is a good that is both non-excludable and non-rivalrous, meaning individuals cannot be effectively excluded from use and use by one does not reduce availability to others.

Nonrival

A characteristic of a good where its consumption by one individual does not reduce its availability to others; often associated with public goods.

Free-rider Problem

A situation where individuals consume or benefit from resources without paying for them, often leading to under-provision or depletion of those resources.