Find the Products AB and BA to Determine Whether B $$A = \left[ \begin{array} { r r } 4 & - 2 \\- 6 & 2\end{array} \right]$$

question 5

Multiple Choice

Find the products AB and BA to determine whether B is the multiplicative inverse of A.
- $$A = \left[ \begin{array} { r r } 4 & - 2 \\- 6 & 2\end{array} \right]$$

• A)
• \[\left[ \begin{array} { l }
• - \frac { 1 } { 2 } - \frac { 1 } { 2 } \\
• - \frac { 3 } { 2 } - 1
• \end{array} \right]\]
• B)
• \[\left[ \begin{array} { r r }
• - \frac { 1 } { 2 } & \frac { 1 } { 2 } \\
• \frac { 3 } { 2 } & - 1
• \end{array} \right]\]
• C)
• \[\left[ \begin{array} { l }
• - \frac { 3 } { 2 } - 1 \\
• - \frac { 1 } { 2 } - \frac { 1 } { 2 }
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { c }
• - 1 - \frac { 1 } { 2 } \\
• - \frac { 3 } { 2 } - \frac { 1 } { 2 }
• \end{array} \right]\]

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Definitions:

Greenmail

To avoid an unfriendly acquisition, a firm may buy shares owned by a potential acquirer at a price above the market price of the stock. The above-market payment is greenmail.

Horizontal Merger

A business consolidation that occurs between firms operating in the same industry, often aiming to increase market share.

Conglomerate Merger

A union between firms that are involved in totally unrelated business activities.

Vertical Merger

A merger between companies in the same industry but at different stages of the production process, aiming at creating efficiencies or reducing costs.