Find the Products AB and BA to Determine Whether B

question 8

Multiple Choice

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

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

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Definitions:

Collectivist Culture

A culture that emphasizes group solidarity, loyalty, and collective well-being over individual desires and achievements.

Self-Expression

The process of conveying one's thoughts, feelings, and individuality through words, art, or other forms of personal creativity.

Diversity

The presence of differences within a given setting, including differences in race, ethnicity, gender, sexual orientation, age, and other attributes.

Individualistic Culture

A culture that emphasizes personal achievements and individual rights, often prioritizing the individual over the group.