(1) What set of vectors corresponds to
(2) Suppose 
are linearly
independent but 
. Write
down a basis for
(3) What is the dimension of the span in (2)?
(4) What is the maximum possible dimension of
(c.f. Linear Combination q.4)
(5) Suppose the solution space of the matrix equation
, obtained using the method
of parameters and back substitution, was found to be
Write down a basis for the solution space.
(6) Let 
be linearly
independent vectors. Simplify
