Use the Inverse Power Method to Determine the Smallest Eigenvalue $$A = \left[ \begin{array} { r r r } 1 & 0.5 & 0 \\0 & 1.5 & 0 \\- 1 & 1 & 2\end{array} \right]$$

question 16

Multiple Choice

Use the inverse power method to determine the smallest eigenvalue of the matrix A.
-Assume that the eigenvalues are roughly 1.3, 2.1, and 15. $$A = \left[ \begin{array} { r r r } 1 & 0.5 & 0 \\0 & 1.5 & 0 \\- 1 & 1 & 2\end{array} \right]$$

• A) \(1.5\)
• B) 2
• C) \(1.3\)
• D) 5

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Definitions:

Eusociality

A high level of organization in social animals characterized by cooperative brood care, division of labor, and overlapping generations within a colony.

Social Behavior

Interactions among individuals of the same species that influence the behavior of one another, often vital for survival and reproduction.

Fitness Benefits

Advantages conferred to individuals that contribute to their survival and reproductive success in a given environment.

Adaptation

The process by which a species becomes better suited to its environment through genetic changes over generations.