(1.1: Geometry) Suppose we want to express the point (2; 3) in R2 as the solution space of a system of linear equations. (a) What is the smallest number of equations you would need? Write down such a system. (b) Can you add one more equation to the system in (a) so that the new system still has the unique solution (2; 3)? (c) What is the maximum number of distinct equations you can add to your system in (a) to still maintain the unique solution (2; 3)? (d) Is there a general form for the equations in (c)?