The Solution of the System $\mathbf { X } ^ { \prime } = \left( \begin{array} { l l } 2 & 2 \\1 & 1\end{array} \right) \mathbf { X }$

question 25

Multiple Choice

The solution of the system $\mathbf { X } ^ { \prime } = \left( \begin{array} { l l } 2 & 2 \\1 & 1\end{array} \right) \mathbf { X }$ is

• A) \(\mathbf { X } = c _ { 1 } \left( \begin{array} { c }
• - 1 \\
• 1
• \end{array} \right) + c _ { 2 } \left( \begin{array} { l }
• 2 \\
• 1
• \end{array} \right) e ^ { - 3 t }\)
• B) \(\mathbf { X } = c _ { 1 } \left( \begin{array} { c }
• - 1 \\
• 1
• \end{array} \right) + c _ { 2 } \left( \begin{array} { l }
• 2 \\
• 1
• \end{array} \right) e ^ { 3 t }\)
• C) \(\mathbf { X } = c _ { 1 } \left( \begin{array} { c }
• - 1 \\
• 1
• \end{array} \right) + c _ { 2 } \left( \begin{array} { l }
• 1 \\
• 2
• \end{array} \right) e ^ { - 3 t }\)
• D) \(\mathbf { X } = c _ { 1 } \left( \begin{array} { c }
• - 1 \\
• 1
• \end{array} \right) + c _ { 2 } \left( \begin{array} { l }
• 1 \\
• 2
• \end{array} \right) e ^ { 3 t }\)
• E) none of the above

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Definitions:

Risky

Involving or exposed to a high degree of uncertainty and the potential for loss or harm.

Tempered Radicals

Individuals within organizations who drive change by challenging norms and promoting progressive policies, while managing to stay within the corporate system.

Manipulation

Influencing or controlling someone or something to one's advantage, often in a deceitful or unfair way.

Withholding Information

A form of communication control where information is deliberately kept from others who might need or want it.