If A is singular (det=0), then AX = B has:
Solution
If det(A)=0, either no solution or infinitely many (Cramer's rule fails). The system is consistent only if rank(A) = rank([A|B]).
About this question
Subject: Mathematics · Chapter: Matrices and Determinants · Topic: Determinants
This question is part of PrepWiser's free JEE Main question bank. 16 more solved questions on Matrices and Determinants are available — start with the harder ones if your accuracy is >70%.