For the system of equations AX = B, which of the following is correct?

If A is a non-singular matrix, then AX = B has a unique solution.

The correct answer is Option (3) → If A is a non-singular matrix, then AX = B has a unique solution.

$\text{For the system }AX=B:$

$\text{If }A\text{ is non–singular }(|A|\neq 0),\text{ then }X=A^{-1}B\text{ is uniquely determined.}$

$\text{If }A\text{ is singular }(|A|=0),\text{ the system may have no solution or infinitely many solutions, but not a unique one.}$

Correct statement:

If A is a non-singular matrix, then AX = B has a unique solution.