The Sizes of Two Matrices Are Given $A$ Is $3 \times 1$

question 53

Multiple Choice

The sizes of two matrices are given. Find the size of the product AB and the size of the product BA, if the given product
can be calculated.
- $A$ is $3 \times 1$ ; B is $1 \times 3$ .

• A) \(\mathrm { AB }\) cannot be calculated; \(\mathrm { BA }\) is \(1 \times 1\).
• B) \(\mathrm { AB }\) is \(1 \times 1 ; \mathrm { BA }\) is \(3 \times 3\).
• C) \(\mathrm { AB }\) is \(3 \times 3\); BA cannot be calculated.
• D) \(\mathrm { AB }\) is \(3 \times 3\); \(\mathrm { BA }\) is \(1 \times 1\).

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