Let a Be the Matrix of the Previous Two Problems $\mathbf { X } ^ { \prime } = A \mathbf { X }$

question 20

Multiple Choice

Let A be the matrix of the previous two problems. The solution of $\mathbf { X } ^ { \prime } = A \mathbf { X }$ is

• A) \(c _ { 1 } \left( \begin{array} { l }
• 1 \\
• 0 \\
• 0
• \end{array} \right) e ^ { 3 t } + c _ { 2 } \left( \begin{array} { c }
• 0 \\
• 1 \\
• - 1
• \end{array} \right) e ^ { 2 t } + c _ { 3 } \left[ \left( \begin{array} { c }
• 0 \\
• 1 \\
• - 1
• \end{array} \right) t e ^ { 2 t } + \left( \begin{array} { l }
• 0 \\
• 1 \\
• 0
• \end{array} \right) e ^ { 2 t } \right]\)
• B) \(c _ { 1 } \left( \begin{array} { l }
• 1 \\
• 0 \\
• 0
• \end{array} \right) e ^ { - 3 t } + c _ { 2 } \left( \begin{array} { c }
• 0 \\
• 1 \\
• - 1
• \end{array} \right) e ^ { - 2 t } + c _ { 3 } \left[ \left( \begin{array} { c }
• 0 \\
• 1 \\
• - 1
• \end{array} \right) t e ^ { - 2 t } + \left( \begin{array} { c }
• 0 \\
• - 1 \\
• 0
• \end{array} \right) e ^ { - 2 t } \right]\)
• C) \(c _ { 1 } \left( \begin{array} { l }
• 1 \\
• 0 \\
• 0
• \end{array} \right) e ^ { 3 t } + c _ { 2 } \left( \begin{array} { c }
• 0 \\
• 1 \\
• - 1
• \end{array} \right) e ^ { - 2 t } + c _ { 3 } \left[ \left( \begin{array} { c }
• 0 \\
• 1 \\
• - 1
• \end{array} \right) t e ^ { - 2 t } + \left( \begin{array} { c }
• 0 \\
• - 1 \\
• 0
• \end{array} \right) e ^ { - 2 t } \right]\)
• D) \(c _ { 1 } \left( \begin{array} { l }
• 1 \\
• 0 \\
• 0
• \end{array} \right) e ^ { - 3 t } + c _ { 2 } \left( \begin{array} { c }
• 0 \\
• 1 \\
• - 1
• \end{array} \right) e ^ { 2 t } + c _ { 3 } \left[ \left( \begin{array} { c }
• 0 \\
• 1 \\
• - 1
• \end{array} \right) t e ^ { 2 t } + \left( \begin{array} { c }
• 0 \\
• - 1 \\
• 0
• \end{array} \right) e ^ { 2 t } \right]\)
• E) \(c _ { 1 } \left( \begin{array} { l }
• 1 \\
• 0 \\
• 0
• \end{array} \right) e ^ { 3 t } + c _ { 2 } \left( \begin{array} { c }
• 0 \\
• 1 \\
• - 1
• \end{array} \right) e ^ { 2 t } + c _ { 3 } \left[ \left( \begin{array} { c }
• 0 \\
• 1 \\
• - 1
• \end{array} \right) t e ^ { 2 t } + \left( \begin{array} { c }
• 0 \\
• - 1 \\
• 0
• \end{array} \right) e ^ { 2 t } \right]\)

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Definitions:

Platinum Rule

Guiding principle that encourages treating others the way they want to be treated, reflecting empathy and understanding of personal preferences.

Milton Bennett

A scholar known for his work on intercultural sensitivity and the Developmental Model of Intercultural Sensitivity.

Other-Oriented Principle

A communication philosophy focused on understanding and prioritizing the needs, feelings, and perceptions of others in interactions.

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The feeling of disorientation experienced by someone who is suddenly subjected to an unfamiliar culture, way of life, or set of attitudes.