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

question 26

Multiple Choice

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

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

Understand the process and effects of filtering and information overload on communication.

Comprehend the role of nonverbal communication in clarifying messages and its significance across cultures.

Identify the types of listening and strategies to improve listening skills.

Recognize the influence of context (high-context vs. low-context cultures) on communication effectiveness.

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Definitions:

Counterconditioning

A behavior therapy technique where an unwanted response to a stimulus is replaced with a desired response.

Unconditional Positive Regard

In psychology, an attitude of total acceptance and support towards another person regardless of what they say or do, often used within therapeutic settings.

Psychoanalysis

A therapeutic technique and theory of psychology developed by Sigmund Freud, focusing on unconscious motives and conflicts.

Unfalsifiable Nature

A characteristic of a statement, hypothesis, or theory that cannot be proven false, often due to its broad or vague nature.