Consider the following statements: 1. The inverse of a square matrix, if exists, is unique. 2. If $A$ and $B$ are singular matrices of order $n$, then $A B$ is also a singular matrix of order $n$. Which of the statements given above is/are correct?

• A

  1 only
• B

  2 only
• Correct answer
  C

  Both 1 and 2
• D

  Neither 1 nor 2

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