Suppose we have a linear transformation x? ax where
[1 3 9 2
a= 1 0 3 4
0 1 2 3
2 3 0 5] ( a is matrix form 4 by 4)
a. find all x? r4 with ax = 0 (if any). give your solution in parameterized form.
b. determine if
y= [3
3
1
2]
y is in the range of a.
c. do the columns of a span r4 ? how do you know?