PG entrance exam CUET PG 2025 Mock Test Engineering Mathematics Linear Algebra Systems of Linear Equations
Consider the systems, each consisting of m linear equations in n variables.
I. If m < n, then all such systems have a solution
II. If m > n, then none of these systems has a solution
III. If m = n, then there exists a system which has a solution
Which one of the following is CORRECT?
1
I, II and III are true
2
Only II and III are true
3
Only III is true
4
None of them is true