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

question 35

Multiple Choice

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

• A) \(\mathbf { X } = c _ { 1 } e ^ { 2 t } \left[ \left( \begin{array} { l }
• 0 \\
• 1
• \end{array} \right) \cos ( 2 t ) - \left( \begin{array} { l }
• 0 \\
• 1
• \end{array} \right) \sin ( 2 t ) \right] + c _ { 2 } e ^ { 2 t } \left[ \left( \begin{array} { l }
• 1 \\
• 0
• \end{array} \right) \cos ( 2 t ) + \left( \begin{array} { l }
• 0 \\
• 1
• \end{array} \right) \sin ( 2 t ) \right]\)
• B) \(\mathbf { X } = c _ { 1 } e ^ { - 2 t } \left[ \left( \begin{array} { l }
• 0 \\
• 1
• \end{array} \right) \cos ( 2 t ) - \left( \begin{array} { l }
• 1 \\
• 0
• \end{array} \right) \sin ( 2 t ) \right] + c _ { 2 } e ^ { - 2 t } \left[ \left( \begin{array} { l }
• 1 \\
• 0
• \end{array} \right) \cos ( 2 t ) + \left( \begin{array} { l }
• 0 \\
• 1
• \end{array} \right) \sin ( 2 t ) \right]\)
• C) \(\mathrm { X } = c _ { 1 } e ^ { 2 t } \left[ \left( \begin{array} { l }
• 0 \\
• 1
• \end{array} \right) \cos t + \left( \begin{array} { l }
• 1 \\
• 0
• \end{array} \right) \sin t \right] + c _ { 2 } e ^ { 2 t } \left[ \left( \begin{array} { l }
• 1 \\
• 0
• \end{array} \right) \cos t + \left( \begin{array} { l }
• 0 \\
• 1
• \end{array} \right) \sin t \right]\)
• D) \(\mathrm { X } = c _ { 1 } e ^ { - 2 t } \left[ \left( \begin{array} { l }
• 0 \\
• 1
• \end{array} \right) \cos t - \left( \begin{array} { l }
• 1 \\
• 0
• \end{array} \right) \sin t \right] + c _ { 2 } e ^ { - 2 t } \left[ \left( \begin{array} { l }
• 1 \\
• 0
• \end{array} \right) \cos t + \left( \begin{array} { l }
• 0 \\
• 1
• \end{array} \right) \sin t \right]\)
• E) none of the above

Recognize permissible and impermissible practices regarding tender of goods.

Calculate the measure of recovery in cases of non-delivery or nonconformity of goods.

Determine the legal consequences of acceptance or rejection of goods by the buyer.

Understand the rights and obligations related to assurance of performance and anticipatory repudiation.

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