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

question 267

Multiple Choice

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

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

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Definitions:

Outdoor Temperature

The temperature of the air outside, which can vary widely depending on the weather, time of day, and geographic location.

Association

A relationship or link between two or more variables, where changes in one variable correspond to changes in the other.

Life Expectancy

The average period that an individual is expected to live, based on statistical averages.

Infant Mortality

The number of deaths of infants under one year old per 1,000 live births in a given region or period.