Find a Matrix a and a Column Matrix B That $$\mathrm { AB } = \left[ \begin{array} { r } 1279 \\1194 \\939\end{array} \right]$$

question 102

Multiple Choice

Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the
matrix product AB, and interpret the significance of the entries of this product.
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• A) \[\mathrm { AB } = \left[ \begin{array} { r } 1279 \\ 1194 \\ 939 \end{array} \right]\] Tuition for Student 1 is \(\$ 1279\), tuition for Student 2 is \(\$ 1194\), and tuition for Student 3 is \(\$ 939\).
• B) \[\mathrm { AB } = \left[ \begin{array} { r } 1272 \\ 1196 \\ 925 \end{array} \right]\] Tuition for Student 1 is \(\$ 1272\), tuition for Student 2 is \(\$ 1196\), and tuition for Student 3 is \(\$ 925\).
• C) \[\mathrm { AB } = [ 3739 ]\] The total tuition paid by all 3 students is \(\$ 3739\).
• D) \[\mathrm { AB } = [ 3588 ]\] The total tuition paid by all 3 students is \(\$ 3588\).

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Definitions:

Construction Expense

Costs directly attributed to the construction of a building or infrastructure, including materials, labor, and overhead.

Accounts Receivable

Money owed to a company by its customers for goods or services that have been delivered but not yet paid for.

Partial Billings

The process of issuing invoices for a fraction of the total amount of a contract or project before its completion.

Gross Profit

The difference between sales revenue and the cost of goods sold (COGS), indicating the profit made before deducting operating expenses.