Find the Products AB and BA to Determine Whether B

question 74

Multiple Choice

Find the products AB and BA to determine whether B is the multiplicative inverse of A.
- $$A = \left[ \begin{array} { r r r } 2 & - 1 & 0 \\- 1 & 1 & - 2 \\1 & 0 & - 1\end{array} \right] , \quad B = \left[ \begin{array} { r r r } 1 & - 1 & 2 \\- 3 & - 2 & 4 \\- 1 & 1 & 1\end{array} \right]$$

• A) \(B \neq A ^ { - 1 }\)
• B) \(\mathrm { B } = \mathrm { A } ^ { - 1 }\)

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Definitions:

Postconventional

A stage of moral development where individuals make ethical choices based on universal ethical principles and internalized values.

Moral Development

The process through which individuals develop proper attitudes and behaviors toward other people in society, based on social and cultural norms, laws, and personal beliefs.

Preconventional

The first level in Kohlberg's theory of moral development, where moral reasoning is based on individual needs and concrete rewards and punishments.

Conventional Role

Societal norms that dictate the expected behaviors, duties, and responsibilities of individuals based on their social or demographic characteristics, such as gender or age.