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

question 332

Multiple Choice

Find the inverse of A if it has one, or state that the inverse does not exist.
- $$A = \left[ \begin{array} { l l l } 1 & 3 & 2 \\1 & 3 & 3 \\2 & 7 & 8\end{array} \right]$$

• A)
• \[\left[ \begin{array} { l l l }
• 1 & \frac { 1 } { 3 } & \frac { 1 } { 2 } \\
• 1 & \frac { 1 } { 3 } & \frac { 1 } { 3 } \\
• \frac { 1 } { 2 } & \frac { 1 } { 7 } & \frac { 1 } { 8 }
• \end{array} \right]\]
• B) Inverse does not exist
• C)
• \[\left[ \begin{array} { r r r }
• - 3 & 10 & - 3 \\
• 2 & - 4 & 1 \\
• - 1 & 1 & 0
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { l l l }
• - 1 & - 3 & - 2 \\
• - 1 & - 3 & - 3 \\
• - 2 & - 7 & - 8
• \end{array} \right]\]

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Definitions:

Units Of Good

The quantifiable measure of a product or service that is produced by a company.

Utility Function

An expression that quantitatively describes how consumer preferences are ordered, indicating the level of happiness or fulfillment they derive from various goods or services.

Indifference Curves

Graphical representations used in microeconomics to illustrate different combinations of two goods among which a consumer is indifferent in terms of utility or satisfaction.

Preferences Convex

A characteristic of consumer choices where combinations of goods are preferred over extreme options, illustrating a desire for variety.