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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Definitions:

Tampa Electric Co. v. Nashville Coal Co.

A landmark legal case that established principles regarding antitrust laws and competitive harm within the context of exclusive dealing contracts.

Clayton Act Section 3

Part of U.S. antitrust law that prohibits exclusive dealings and tying arrangements where they may substantially lessen competition or tend to create a monopoly.

Tying Agreement

A commercial arrangement whereby the seller conditions the sale of one product on the buyer's agreement to purchase another, separate product.

Smith-Lever Act

A 1914 United States legislation that established a system of cooperative extension services, connected to the land-grant university system, to disseminate information about agriculture, home economics, public policy/government, leadership, 4-H, economic development, and many other related subjects.