Find the Inverse, If It Exists, for the Matrix $$\left[ \begin{array} { r r } - 3 & - 2 \\0 & 5\end{array} \right]$$

question 306

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $$\left[ \begin{array} { r r } - 3 & - 2 \\0 & 5\end{array} \right]$$

• A)
• \[\left[ \begin{array} { c }
• \frac { 1 } { 5 } - \frac { 2 } { 15 } \\
• 0 - \frac { 1 } { 3 }
• \end{array} \right]\]
• B)
• \[\left[ \begin{array} { r r }
• - \frac { 1 } { 3 } & \frac { 2 } { 15 } \\
• 0 & \frac { 1 } { 5 }
• \end{array} \right]\]
• C)
• \[\left[ \begin{array} { c c }
• 0 & \frac { 1 } { 5 } \\
• - \frac { 1 } { 3 } - \frac { 2 } { 15 }
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { r r }
• - \frac { 1 } { 3 } & - \frac { 2 } { 15 } \\
• 0 & \frac { 1 } { 5 }
• \end{array} \right]\]

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Definitions:

Sample Variances

Measures of the dispersion or spread within a set of sample data, quantifying how much the samples differ from each other.

Test Statistic

A calculated value from sample data used to determine if a hypothesis about a population parameter is supported.

Random Samples

Selections made in such a way that each individual in the population has an equal chance of being included in the sample.

F-test Statistic

A value calculated for conducting an F-test, used to compare variances across groups to determine if they differ significantly.