Find the Inverse, If It Exists, for the Matrix $$\left[ \begin{array} { l l } - 2 & 6 \\- 3 & 6\end{array} \right]$$

question 145

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $$\left[ \begin{array} { l l } - 2 & 6 \\- 3 & 6\end{array} \right]$$

• A)
• \(\left[ \begin{array} { r r } \frac { 1 } { 2 } & - \frac { 1 } { 3 } \\ 1 & - 1 \end{array} \right]\)
• B)
• \(\left[ \begin{array} { c c } 1 & - 1 \\ \frac { 1 } { 2 } & - \frac { 1 } { 3 } \end{array} \right]\)
• C)
• \(\left[ \begin{array} { c c } 1 & 1 \\ - \frac { 1 } { 2 } & - \frac { 1 } { 3 } \end{array} \right]\)
• D)
• \(\left[\begin{array}{cc}
• -\frac{1}{3} & -1 \\
• \frac{1}{2} & 1
• \end{array}\right]\)

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Definitions:

Wrist

The joint connecting the hand and the forearm.

Muscles

Tissue composed of fibers capable of contracting to produce movement or maintain the position of parts of the body.

Joint

A structure in the human or animal body where two parts of the skeleton are fitted together, allowing for movement or flexibility.

Subscapularis

A muscle in the shoulder responsible for the internal rotation of the shoulder joint.