Find the Indicated Matrix $\mathrm { A } = \left[ \begin{array} { r r r } 0 & - 3 & 1 \\ 5 & - 1 & 0 \end{array} \right]$

question 12

Multiple Choice

Find the indicated matrix.
-Let $\mathrm { A } = \left[ \begin{array} { r r r } 0 & - 3 & 1 \\ 5 & - 1 & 0 \end{array} \right]$ and $\mathrm { B } = \left[ \begin{array} { r r } 1 & 2 \\ 0 & 1 \\ 1 & - 1 \end{array} \right]$ . Find $\mathrm { AB }$ .

• A) \(\left[ \begin{array} { r r } 1 & 5 \\ - 4 & 9 \end{array} \right]\)
• B) \(\left[ \begin{array} { r r } 0 & 10 \\ 0 & - 1 \\ 0 & 0 \end{array} \right]\)
• C) \(\left[ \begin{array} { r r r } 10 & - 5 & 1 \\ 5 & - 1 & 0 \\ - 5 & - 2 & 0 \end{array} \right]\)
• D) \(\left[ \begin{array} { r r } 1 & - 4 \\ 5 & 9 \end{array} \right]\)

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Definitions:

Transfer Payments

Payments made by the government to individuals or groups without expecting a good or service in return, often aimed at redistributing income, such as social security benefits and subsidies.

Government Purchases

Expenditures by government agencies on goods and services that directly satisfy public consumption or investment in public infrastructure.

Transfer Payments

Payments made by governments to individuals without any expectation of services or goods in return, often in the form of welfare or subsidies.

U.S. Output

The total economic production of goods and services by the United States.