The sum and product of matrices A and B exist. Which of the following implications are necessarily true? 1. A and B are square matrices of same order. 2. $A$ and $B$ are non-singular matrices. Select the correct answer using the code given below:

• Correct answer
  A

  1 only
• B

  2 only
• C

  Both 1 and 2
• D

  Neither 1 nor 2

Hence, the correct answer is option: 'A'.