Provide an Appropriate Response $A + B , A - B$

question 172

Multiple Choice

Provide an appropriate response.
-Suppose that A and B are two matrices such th $A + B , A - B$ B, and AB all exist. What can you conclude about the dimensions of A and B?

• A) A is a row matrix, and B is a column matrix.
• B) A and B are square matrices of the same dimension.
• C) A and B have the same dimension but are not necessarily square matrices.
• D) There are no dimensions of A and B that would make this possible.

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Definitions:

Unstated Premise

An implicit assumption in an argument that is not explicitly expressed but is necessary for the argument's logic.

V-8 Engine

A type of engine configuration with eight cylinders arranged in a V shape, known for its power and performance, commonly used in cars and trucks.

Unstated Conclusion

A conclusion that is implied or suggested in an argument but not explicitly expressed.

Subject Term

In logic, the term about which something is being asserted in the premise of a categorical syllogism.