Question

If the order of matrix A is m×p. And the order of B is p×n. Then the order of matrix AB is?(a) m × n(b) n × m(c) n × p(d) m × p

Answer 1

The order of AB matrix is m×n

Answer 2

• We are given 2 matrixes, A with order m×p and the order of B is p×n.
• We have to find out the order of matrix AB.
• We will use matrix multiplication rule here, which states that :
• If we are given 2 matrices of with order a×b and c×d, in order to be multiplicable, b must be equal to c and the resultant matrix will have order a×d.
• So using this formula in this question,
• We have p = p and so the resultant matrix will have m×n order.
• So, order of matrix AB is m×n.