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:

Probability

The measure or assessment of the likelihood of a particular event or outcome happening based on available evidence or statistical analysis.

Coin Flip

A basic form of randomness used as a method for making a decision, characterized by an equal probability of landing on heads or tails.

Probability

An estimate of the probability that a specific event will take place.

Tails

The term used to refer to the rear or back end of an animal's body, or in coin flipping, the side of the coin not displaying the head.