A system of linear equations with fewer equations than unkno

A system of linear equations with fewer equations than unknowns is sometimes called an underdetermined system. Can such a system have a unique solution? Explain. Choose the correct answer below.

Solution

Here given that equations are less and variables are more. So the undetermined system can either be incostintent or consistent.

If it is inconsistent then the system has no solutions

But if it is consistent then it has infiniteley many solutions. But it never ahs a unique solution. So the option is D