Find the Products AB and BA to Determine Whether B

question 44

Multiple Choice

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

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

---

Definitions:

Polarization

The process or phenomenon where a group or society gets divided into sharply contrasting opinions or beliefs.

Mental Agenda

A mental agenda refers to the set of priorities, tasks, or objectives that an individual plans to accomplish, often reflecting their personal or professional goals.

Objective Strategies

Planned actions or approaches aimed at achieving specific goals based on factual analysis.

Effective Leaders

Individuals who demonstrate the ability to influence, motivate, and enable others to contribute toward the effectiveness and success of the organizations of which they are members.