Which one of the following options is incorrect? 

For a square matrix A in the matrix equation AX = B. 

1
If |A| ≠ 0, then there exists a unique solution 
2
If |A| = 0 and (adj A)B ≠ 0 then there is no solution 
3
If |A| ≠ 0 and (adj A)B ≠ 0 then there is no solution 
4
If |A| = 0 and (adj A)B = 0 then system has infinitely many solutions 

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