IDNLearn.com is your reliable source for expert answers and community insights. Our Q&A platform offers reliable and thorough answers to ensure you have the information you need to succeed in any situation.

If Matrix A is 4 x 3 and Matrix B is 3 x 2, then Matrix AB is undefined.
True
False


Sagot :

To determine whether the product of Matrix A and Matrix B, denoted as AB, is defined, we need to consider the rules for matrix multiplication.

Matrix A has dimensions 4 x 3, meaning it has 4 rows and 3 columns.
Matrix B has dimensions 3 x 2, meaning it has 3 rows and 2 columns.

For matrix multiplication to be defined, the number of columns in the first matrix (Matrix A in this case) must be equal to the number of rows in the second matrix (Matrix B in this case).

In this problem:
- Matrix A has 3 columns.
- Matrix B has 3 rows.

Since the number of columns in Matrix A equals the number of rows in Matrix B (both are 3), the multiplication of these two matrices (AB) is defined.

Therefore, the statement "Matrix AB is undefined" is False.
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com provides the best answers to your questions. Thank you for visiting, and come back soon for more helpful information.