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

Understand the relationship between planning and controlling within the management functions.

Grasp the essence of planning in setting objectives and determining actions to achieve them.

Identify the importance of engaging multiple stakeholders in the planning process to enhance implementation and results.

Understand the concept of gains from specialization and trade.

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