Question

Determine if the statement is true or false. A system in echelon form can have more variables than equations. True False Justify your answer.

Answer 1

Yes

Explanation:

A system in echelon form can have more variables than equations. ... Every linear system with free variables has infinitely many solutions. True, a free variable can take any value, and so there are infinitely many solutions. Any linear system with more variables than equations cannot have a unique solution.