The Characteristic Equation Of $A = \left( \begin{array} { c c c } 1 & - 12 & - 14 \\1 & 2 & - 3 \\1 & 1 & - 2\end{array} \right)$

question 7

Multiple Choice

The characteristic equation of $A = \left( \begin{array} { c c c } 1 & - 12 & - 14 \\1 & 2 & - 3 \\1 & 1 & - 2\end{array} \right)$ is

• A) \(- \lambda ^ { 3 } + \lambda ^ { 2 } + 25 \lambda - 25 = 0\)
• B) \(- \lambda ^ { 3 } + \lambda ^ { 2 } - 25 \lambda + 25 = 0\)
• C) \(- \lambda ^ { 3 } - \lambda ^ { 2 } + 25 \lambda - 25 = 0\)
• D) \(- \lambda ^ { 3 } - \lambda ^ { 2 } - 25 \lambda + 25 = 0\)
• E) none of the above

Understand how to analyze and interpret data presented in graphical formats.

Grasp the concept of slope in graphical analysis and its implication on economic variables.

Recognize the distinction between positive and normative economics.

Identify the characteristics and implications of economic growth.

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Definitions:

Collect Like Terms

In algebra, the process of combining terms that have the same variables raised to the same power to simplify an expression.

Operation Indicated

Typically refers to performing the specific mathematical operation (addition, subtraction, multiplication, division) suggested by a situation or expression.

Collect Like Terms

A process in algebra involving the simplification of an expression by combining terms that have the same variables raised to the same power.

Operation Indicated

The mathematical operation (such as addition, subtraction, multiplication, or division) suggested by the context of a problem or equation.