1) Let U = [x,y,z,w]^t and V = [x`,y`,z`,w`]^t be solution to the system following:

2) Find a general solution to the following system, expressed in parametric form. Give the translation vector and spanning vectors. Give four different solution to each system. Is the solution a plane or a line?

3) For the following system, write the augmented matrix A. Find all solutions if any exist. State whether it is a line or plane. If one of the rows of the augmented matrix becomes zero during the solution process, explicitly exhibit one row of A as a linear combination of the other rows.