Find the Inverse of a If It Has One, or State

question 274

Multiple Choice

Find the inverse of A if it has one, or state that the inverse does not exist.
- $$A = \left[ \begin{array} { r r r } - 2 & 0 & 2 \\2 & 4 & 6 \\- 3 & - 1 & 1\end{array} \right]$$

• A)
• \[\left[ \begin{array} { c c c }
• - \frac { 1 } { 2 } & 0 & 1 \\
• 0 & \frac { 1 } { 4 } & 0 \\
• 1 & 0 & 1
• \end{array} \right]\]
• B)
• \[\left[ \begin{array} { c c c }
• - \frac { 1 } { 2 } & 0 & 0 \\
• 0 & \frac { 1 } { 4 } & 0 \\
• 0 & 0 & 1
• \end{array} \right]\]
• C)
• \[\left[ \begin{array} { r r r }
• - \frac { 1 } { 2 } & 0 & \frac { 1 } { 2 } \\
• \frac { 1 } { 2 } & \frac { 1 } { 4 } & \frac { 1 } { 6 } \\
• - \frac { 1 } { 3 } & - 1 & 1
• \end{array} \right]\]
• D) \(\text { Inverse does not exist }\)

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Definitions:

Proteins

are large, complex molecules made up of amino acids that play many critical roles in the body, including catalyzing metabolic reactions, DNA replication, responding to stimuli, and transporting molecules from one location to another.

Cytoplasm

The gel-like substance within a cell, excluding the nucleus, containing organelles and is involved in numerous cellular processes.

Plane

A flat, two-dimensional surface that extends infinitely in all directions.

Body's Organs

Groups of tissues in a living organism that have been adapted to perform a specific function or group of functions.