Find the Inverse of the Matrix $$\left[ \begin{array} { c c } 2 & 1 \\- 1 & 16\end{array} \right]$$

question 49

Multiple Choice

Find the inverse of the matrix.
$$\left[ \begin{array} { c c } 2 & 1 \\- 1 & 16\end{array} \right]$$

• A) \(\left[ \begin{array} { c c } \frac { 16 } { 33 } & - \frac { 1 } { 33 } \\ - \frac { 1 } { 33 } & \frac { 2 } { 33 } \end{array} \right]\)
• B) \(\left[ \begin{array} { c c } \frac { 16 } { 33 } & \frac { 1 } { 33 } \\ \frac { 1 } { 33 } & \frac { 2 } { 33 } \end{array} \right]\)
• C)
• \[\left[ \begin{array} { c c }
• \frac { 16 } { 33 } & - \frac { 1 } { 33 } \\
• \frac { 1 } { 33 } & - \frac { 2 } { 33 }
• \end{array} \right]\]
• D) \(\left[ \begin{array} { c c } - \frac { 16 } { 33 } & - \frac { 1 } { 33 } \\ \frac { 1 } { 33 } & \frac { 2 } { 33 } \end{array} \right]\)
• E) \(\left[ \begin{array} { c c } \frac { 16 } { 33 } & - \frac { 1 } { 33 } \\ \frac { 1 } { 33 } & \frac { 2 } { 33 } \end{array} \right]\)

---

Definitions:

Lysine

An essential amino acid required for protein synthesis and various metabolic processes.

pH Unit

A measure on a scale from 0 to 14 of the acidity or alkalinity of an aqueous solution, where 7 is neutral, values lower than 7 are acidic, and values higher than 7 are basic.

Electrophoresis

A laboratory technique used to separate DNA, RNA, or protein molecules based on their size and electrical charge by applying an electric current to a gel matrix.

Isoelectric Point

The pH at which a molecule, especially an amino acid or protein, carries no net electric charge, making it electrically neutral.