Provide an Appropriate Response $A$ And $B$ Are Two Matrices Such That $A + B , A - B$

question 25

Multiple Choice

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

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

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Definitions:

Hematopoiesis

The process of new blood cell formation in the red bone marrow of cancellous bone.

Cancellous Bone

A type of bone that is less dense, consisting of trabeculae, providing structural support and flexibility.

Long Axis

The longest dimension or principal axis of a body or geometric figure, representing the greatest distance between two points along any chosen orientation.

Central Canal

The cerebrospinal fluid-filled channel running longitudinally through the length of the entire spinal cord.