Question

If A and B are two matrices, then AB is defined only if

• A. No. of columns of matrix A is equal to the number of rows of matrix B.
• B. No. of rows of matrix A is equal to the number of rows of matrix B.
• C. No. of rows of matrix A is equal to the no. of columns of matrix B
• D. No. of columns of matrix A is equal to no. of columns of matrix B.

Answer 1

The correct option is A

No. of columns of matrix A is equal to the number of rows of matrix B.

Two matrices A and B can only be multiplied when number of columns of A = no. of rows of B. (This is the necessary condition for A $\times$ B to be defined).

Hence a is the correct option.