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:

Alcohol Dependency Syndrome

A medical condition characterized by a strong and unhealthy reliance on alcohol despite its negative impact on one's life.

Treatment Programs

Structured plans of healthcare interventions designed to treat specific disorders or diseases, which can include medication, therapy, surgery, or lifestyle changes.

Abstinence

The act of refraining from or not engaging in certain activities or consumptions, particularly those considered harmful or addictive, such as alcohol or drugs.

Controlled Drinking

A harm reduction approach aiming at moderating alcohol consumption to reduce its negative health and social consequences.