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:

Tradable Emissions Permits

A market-based system that allows entities to buy or sell government-granted allotments of pollutants, promoting cost-effective pollution reduction.

Pollution Costs

entail the negative externalities or financial burdens on society resulting from environmental pollution.

Nondegradable Pollutants

Substances that do not break down naturally in the environment and can accumulate and cause harm over time.

Emissions Tax

A tax imposed on companies for the amount of greenhouse gases they emit into the atmosphere.