###### Exercise 4

For each of the questions below, provide a justification for your response.

What does the presence of a row whose entries are all zero in an augmented matrix tell us about the solution space of the linear system?

How can you determine if a linear system has no solutions directly from its reduced row echelon matrix?

How can you determine if a linear system has infinitely many solutions directly from its reduced row echelon matrix?

What can you say the solution space of a linear system if there are more unknowns than equations and at least one solution exists?