Question

In a 3x2 matrix multiplied by a 2x4 matrix, what is the resulting matrix's dimensions?

a) 3x4
b) 2x2
c) 2x3
d) 4x4

Answer 1

The resulting matrix's dimensions are 3x4.

Step-by-step explanation:

The resulting matrix's dimensions can be determined by the number of rows in the first matrix and the number of columns in the second matrix. In this case, we have a 3x2 matrix multiplied by a 2x4 matrix. The number of columns in the first matrix (2) matches the number of rows in the second matrix, so we can perform the multiplication. The resulting matrix will have 3 rows (taken from the first matrix) and 4 columns (taken from the second matrix). Therefore, the answer is a) 3x4.