Question

If Matrix A is of order X*Y and Matrix B is of order M*N, then what is the order of the Matrix A*B given that Y=M?

(a) Y*N

(b) X*M

(c) X*N

(d) Y*M

The question was asked during an internship interview.

The origin of the question is Recursion topic in section Recursion of Data Structures & Algorithms II

Answer 1

Correct answer is (c) X*N

The explanation is: The Matrix A*B is of order X*N as it is given that Y=M i.e. number of columns in Matrix A is equal to total number of rows in matrix B. So the Matrix A*B must have X number of rows and N number of columns.