Question

Let A be a matrix. What must A and B be in order to define AB?

Answer 1

In order to define the product AB, both A and B must be matrices. The number of columns in matrix A must be equal to the number of rows in matrix B. To multiply matrices, multiply corresponding elements and add them together.

Step-by-step explanation:

In order to define the product AB, both A and B must be matrices. When multiplying matrices, the number of columns in matrix A must be equal to the number of rows in matrix B. For example, if A is an m x n matrix and B is an n x p matrix, then the product AB will be an m x p matrix.

Here is the step-by-step process to multiply matrices:

1. Multiply the corresponding elements of each row of matrix A by the corresponding elements of each column of matrix B.
2. Add the products obtained in step 1 to get the corresponding elements of the resulting matrix.