Either the Dimensions of Two Matrices or the Matrices Themselves $$A = \left[ \begin{array} { r } 1 \\- 3 \\2\end{array} \right] ; B = \left[ \begin{array} { r } - 1 \\3 \\2\end{array} \right]$$

question 136

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.
- $$A = \left[ \begin{array} { r } 1 \\- 3 \\2\end{array} \right] ; B = \left[ \begin{array} { r } - 1 \\3 \\2\end{array} \right]$$

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

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Definitions:

Manufacturing Overhead

All indirect costs associated with the manufacturing process, including costs for utilities, rent, and maintenance for production facilities.

Machine-Hours

A measure of the amount of time a machine is operated, used as a basis for allocating manufacturing overhead costs to products.

Machine-Hours

A measure of production time using machines, typically used as a basis for allocating manufacturing overhead to products.

Denominator Level

In cost accounting, refers to the total quantity or capacity used to allocate fixed costs to different cost objects.