Solve the Problem $A = \left[ \begin{array} { l l } 2 & - 1 \\ 3 & - 2 \end{array} \right]$

question 208

Multiple Choice

Solve the problem.
-Given $A = \left[ \begin{array} { l l } 2 & - 1 \\ 3 & - 2 \end{array} \right]$ and $B = \left[ \begin{array} { r r } 0 & - 1 \\ 4 & 3 \end{array} \right]$ , find $A B$ and $B A$ .

• A)
• \(\mathrm { AB } = \left[ \begin{array} { l l } 4 & 1 \\ 8 & 3 \end{array} \right] ; \mathrm { BA } = \left[ \begin{array} { r r } 3 & - 2 \\ - 1 & 2 \end{array} \right]\)
• B)
• \(\mathrm { AB } = \left[ \begin{array} { r r } - 4 & - 5 \\ - 8 & - 9 \end{array} \right] ; \mathrm { BA } = \left[ \begin{array} { r r } - 3 & 2 \\ 17 & - 10 \end{array} \right]\)
• C)
• \(\mathrm { AB } = \left[ \begin{array} { r r } - 3 & 2 \\ 17 & - 10 \end{array} \right] ; \mathrm { BA } = \left[ \begin{array} { r r } - 4 & - 5 \\ - 8 & - 9 \end{array} \right]\)
• D)
• \(\mathrm { AB } = \left[ \begin{array} { r r } 0 & 1 \\ 12 & - 6 \end{array} \right] ; \mathrm { BA } = \left[ \begin{array} { r r } 0 & 1 \\ 12 & - 6 \end{array} \right]\)

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Definitions:

Activity Level

An indicator of the volume of business activity or operations in a specific period, often used in costing and budgeting to measure performance.

Fixed Costs

Costs that remain constant in total regardless of changes in the level of activity within a relevant range.

Static Budget

A budget that is based on fixed assumptions and does not change with variations in business activity levels.

Master Budget

A comprehensive financial planning document incorporating all of an organization's financial plans, including sales, production, and cash budgets.