Find the Inverse of the Following Matrix $\left[ \begin{array} { c c } \cos \theta & \sin \theta \\- \sin \theta & \cos \theta\end{array} \right]$

question 173

Multiple Choice

Find the inverse of the following matrix. $\left[ \begin{array} { c c } \cos \theta & \sin \theta \\- \sin \theta & \cos \theta\end{array} \right]$

• A) \(\left[ \begin{array} { c c }
• \cos \theta & - \sin \theta \\
• \sin \theta & \cos \theta
• \end{array} \right]\)
• B) \(\left[ \begin{array} { c c }
• - \cos \theta & - \sin \theta \\
• \sin \theta & \cos \theta
• \end{array} \right]\)
• C) \(\left[ \begin{array} { c c }
• \cos \theta & \sin \theta \\
• - \sin \theta & \cos \theta
• \end{array} \right]\)
• D) \(\left[ \begin{array} { c c }
• \cos \theta & \sin \theta \\
• - \sin \theta & - \cos \theta
• \end{array} \right]\)
• E) \(\left[ \begin{array} { l l }
• \cos \theta & - \sin \theta \\
• \sin \theta & - \cos \theta
• \end{array} \right]\)

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Definitions:

Mechanoreceptors

Sensory receptors in the skin and other body tissues that respond to mechanical pressure or distortion, involved in sensations such as touch and sound.

Cold Temperature

A condition of the environment in which the thermal reading is low, often resulting in a sensation of being cold and requiring organisms to adapt or seek warmth.

Special Sense

A perception such as sight, hearing, smell, taste, or balance requiring specialized organs.

Unencapsulated Receptors

Sensory receptors not surrounded by connective tissue capsules, detecting changes in their environment.