For the Given Matrix and Eigenvalue, Find an Eigenvector Corresponding $A = \left[ \begin{array} { r r } - 18 & - 5 \\ 60 & 17 \end{array} \right] , \lambda = 2$

question 11

Multiple Choice

For the given matrix and eigenvalue, find an eigenvector corresponding to the eigenvalue.
- $A = \left[ \begin{array} { r r } - 18 & - 5 \\ 60 & 17 \end{array} \right] , \lambda = 2$

• A)
• \(\left[ \begin{array} { r } 1 \\ 17 \end{array} \right]\)
• B)
• \(\left[ \begin{array} { r } - 4 \\ 1 \end{array} \right]\)
• C)
• \(\left[ \begin{array} { r } 1 \\ - 4 \end{array} \right]\)
• D)
• \(\left[ \begin{array} { l } 1 \\ 0 \end{array} \right]\)

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Definitions:

Positive Constants

Fixed values greater than zero that appear consistently within a mathematical equation or expression.

Isoquant Slope

The slope of an isoquant curve represents the rate at which one input can be substituted for another while maintaining the same level of output in production theory.

Input

Resources such as labor, materials, and capital that are used in the production process to create goods or services.

Returns To Scale

The speed at which production levels rise in reaction to an equal rise in all resources, including labor and capital.