Consider the subspace V of R⁴ which has a basis v1=(1,0,2,0) v2=(2,3,0,1). Find a system of equations that has exactly V as the solutionspace.
a) x - 2y + 2z = 0, 2x + 3y + w = 0
b) x + 2y + 2z = 0, 2x + 3y - w = 0
c) x - 2y + 2z = 0, 2x + 3y - w = 0
d) x + 2y - 2z = 0, 2x - 3y + w = 0