Find the Product, AB, If Possible $A = \left[ \begin{array} { r r } 3 & - 1 \\ 3 & 0 \end{array} \right] , B = \left[ \begin{array} { r r } 0 & - 1 \\ 3 & 6 \end{array} \right]$

question 114

Multiple Choice

Find the product, AB, if possible.
- $A = \left[ \begin{array} { r r } 3 & - 1 \\ 3 & 0 \end{array} \right] , B = \left[ \begin{array} { r r } 0 & - 1 \\ 3 & 6 \end{array} \right]$

• A) \(\left[ \begin{array} { l l } 0 & 1 \\ 9 & 0 \end{array} \right]\)
• B) \(\left[ \begin{array} { r r } - 3 & 0 \\ 27 & - 3 \end{array} \right]\)
• C) \(\left[ \begin{array} { r r } - 9 & - 3 \\ - 3 & 0 \end{array} \right]\)
• D) \(\left[ \begin{array} { r r } - 3 & - 9 \\ 0 & - 3 \end{array} \right]\)

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Definitions:

Émile Durkheim

A French sociologist, one of the founding figures of sociology, known for his studies on social cohesion and the functionalism perspective.

Social Groups

Collections of individuals who interact and share similar characteristics and a sense of unity.

Bureaucratic Rationalization

The process of creating an efficient organization through the rational design and organization of human activity, often associated with increased specialization and standardization of tasks.

George Ritzer

An American sociologist known for his work on consumerism, globalization, and the "McDonaldization" of society.