Linear Algebra: null space of a matrix


New member
Mar 14, 2019
A is a matrix which has two special solutions to Ax=0, all other solutions are linear combinations of the special solutions. They are (3,1,4,0,5) and (2,0,2,1,2).
C is a matrix that is the same as A except its second column is (col 2 of A) - (col 1 of A). What is a basis for the nullspace of C?

I have no idea where to begin with this... only that the hint says if M is invertible and y is in Nul(C), then inverse of M * y is in N(CM)