Question

Given matrix A and matrix B, as shown below, what are the dimensions of AB ?

A= [2 -1 4]
B=[1 6 3 -4]

Answer 1

The dimensions of the product AB are 1 row and 4 columns.

Step-by-step explanation:

The dimensions of the product AB can be determined by the number of columns in matrix A and the number of rows in matrix B. Matrix A has 1 row and 3 columns, while matrix B has 3 rows and 4 columns.

When multiplying the two matrices, the number of columns in A (3) must match the number of rows in B (3) for the operation to be defined. Therefore, AB will have the dimensions of 1 row and 4 columns.