Find the Products AB and BA to Determine Whether B

question 83

Multiple Choice

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

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

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Definitions:

Primary Market Transaction

Occurs when new securities are sold for the first time to investors, directly impacting the issuing company's capital.

Issuing Corporation

The entity that offers securities for sale to investors, typically through the process of a public offering.

Secondary Market

A venue where investors buy and sell securities they already own, such as the stock market, separate from the primary market where securities are first issued.

Securities

Financial instruments that represent an ownership position in a publicly-traded corporation, a creditor relationship with a governmental body or a corporation, or rights to ownership as represented by an option.