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 \(1 \times 1\).

---

Definitions:

Confirmation Bias

Confirmation bias is the tendency to search for, interpret, favor, and recall information in a way that confirms one's preexisting beliefs or hypotheses.

Principle Of Falsifiability

The principle that a scientific theory must make predictions that are specific enough to expose the theory to the possibility of disconfirmation; that is, the theory must predict not only what will happen but also what will not happen.

Denialism

The refusal to accept well-established facts or evidence, often in the context of scientific or historical truths.

Cognitive Inertia

The tendency of human minds to stick to existing thought patterns or beliefs, resisting changes even in the face of new information.