Find the Products AB and BA to Determine Whether B $$A = \left[ \begin{array} { r r } - 6 & 0 \\5 & 3\end{array} \right]$$

question 123

Multiple Choice

Find the products AB and BA to determine whether B is the multiplicative inverse of A.
- $$A = \left[ \begin{array} { r r } - 6 & 0 \\5 & 3\end{array} \right]$$

• A)
• \(\left[ \begin{array} { c c } - \frac { 1 } { 6 } & 0 \\ \frac { 5 } { 18 } & \frac { 1 } { 3 } \end{array} \right]\)
• B)
• \(\left[\begin{array}{c}
• -\frac{1}{6} 0 \\
• -\frac{5}{18} \frac{1}{3}
• \end{array}\right]\)
• C) No inverse
• D)
• \(\left[ \begin{array} { c c } \frac { 1 } { 3 } & 0 \\ \frac { 5 } { 18 } & - \frac { 1 } { 6 } \end{array} \right]\)

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Definitions:

Randomly Selected

A method of choosing members of a population such that each member has an equal chance of being chosen, ensuring objectivity in the selection process.

Degrees of Freedom

The number of independent values in a calculation of a statistic that are free to vary.

One-way ANOVA

A statistical test that compares the means of three or more independent groups to determine if there are any statistically significant differences between them.

Treatments

Different conditions or interventions applied to subjects in an experiment to determine their impact.