Either the Dimensions of Two Matrices or the Matrices Themselves $\mathrm { A }$

question 97

Multiple Choice

Either the dimensions of two matrices or the matrices themselves are given. Find the dimensions of the product AB and
the product BA. If either is not defined, say so.
- $\mathrm { A }$ is $3 \times 1$ ; B is $1 \times 3$ .

• A) \(\mathrm { AB }\) is \(3 \times 3\); \(\mathrm { BA }\) is not defined.
• B) \(\mathrm { AB }\) is \(1 \times 1\); \(\mathrm { BA }\) is \(3 \times 3\).
• C) \(\mathrm { AB }\) is \(3 \times 3\); \(\mathrm { BA }\) is \(1 \times 1\).
• D) \(\mathrm { AB }\) is not defined; \(\mathrm { BA }\) is \(1 \times 1\).

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Definitions:

Differentiation

Differentiation is a strategy used by businesses to distinguish their products or services from those of competitors, often through unique features, quality, or branding.

Average Revenue

The total revenue generated by a company divided by the number of units sold, indicating the revenue generated per unit.

Marginal Revenue

The supplementary income generated by a firm when it sells an extra unit of a product or service.

Average Total Cost

The total cost of production (fixed and variable costs combined) divided by the number of units produced, reflecting the cost per unit.