# CBSE Class 12-science Answered

**Write the conditions for a solution of a system of linear equations AX = B.**

Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM

Expert Answer

**(1) **The system has a unique solution, if A is a non-singular matrix, i.e. _{}

**(2)**The system has no solution, if

_{}.

**(3)**The system has no solution or infinitely many solution, if

_{}.

Answered by | 04 Jun, 2014, 03:23: PM

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