The Solution Of $$\mathbf { X } ^ { \prime } = \left( \begin{array} { c c } 1 & - 2 \\1 & 4\end{array} \right) \mathbf { X }$$

question 13

Multiple Choice

The solution of $$\mathbf { X } ^ { \prime } = \left( \begin{array} { c c } 1 & - 2 \\1 & 4\end{array} \right) \mathbf { X }$$ is

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

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Definitions:

Perks

Extra benefits or privileges granted to employees in addition to their regular salary or wages, such as free meals, health insurance, or company cars.

Glass Ceiling

An invisible barrier that prevents minorities and women from rising to upper levels of management and leadership despite their qualifications.

Artificial Barriers

Obstacles that are not based on actual physical limitations but are constructed through societal or organizational practices, hindering equity or progress.

Attitudinal Bias

Involves preconceived notions or judgments that influence an individual's perceptions and behaviors towards others, often leading to unfair treatment.