Find the Matrix Product AB for the Partitioned Matrices A) $$\left[ \begin{array} { r r r | r } - 4 & - 1 & 32 & 23 \\- 17 & - 3 & 14 & - 1 \\21 & 11 & 46 & 52\end{array} \right]$$

question 75

Multiple Choice

Find the matrix product AB for the partitioned matrices.
- $$A = \left[ \begin{array} { r r | r } 4 & 0 & 1 \\2 & - 1 & - 3 \\5 & 3 & 7\end{array} \right] , B = \left[ \begin{array} { r r r | r } - 2 & 0 & 8 & 5 \\1 & 6 & 2 & 2 \\\hline 4 & - 1 & 0 & 3\end{array} \right]$$

• A)
• \[\left[ \begin{array} { r r r | r }
• - 4 & - 1 & 32 & 23 \\
• - 17 & - 3 & 14 & - 1 \\
• 21 & 11 & 46 & 52
• \end{array} \right]\]
• B)
• \[\left[ \begin{array} { r r r | r }
• - 4 & - 1 & 0 & 3 \\
• - 12 & - 3 & 0 & - 9 \\
• \hline 28 & - 7 & 0 & 21
• \end{array} \right]\]
• C)
• \[\left[ \begin{array} { r r r | r }
• - 8 & 0 & 32 & 20 \\
• - 5 & - 6 & 14 & 8 \\
• - 7 & 18 & 46 & 31
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { r r r | r }
• - 4 & - 1 & 32 & 23 \\
• - 17 & - 3 & 14 & - 1 \\
• \hline 21 & 11 & 46 & 52
• \end{array} \right]\]

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Definitions:

Break-Even Point

The point at which costs or expenses and revenue are equal, resulting in no net loss or gain from a business or investment.

Variable Cost

Variable cost is the cost that changes in direct proportion to the volume of output or activity in production, services, or other cost-incurred activities.

Fixed Costs

Expenses that do not change with the level of production or sales, such as rent, salaries, and insurance.

Variable Cost

Costs that change in proportion to the level of activity or volume of production in a business.