Determine a basis for the following vector spaces: a) The space of all vectors in the plane that have rst undergone a rotation by an angle of 323 and then ascalingby {22. h) X=Span(1+2:c+22:2:c3,1+3m+32+m3,1+5m:32+5:s'3,1+m+41=22:3,2+7:c+22:3) gPa c) The space of all vectors in three dimensional space whose tips lie at the intersection of the planes determined by the equations 2.1: - 3:; + z = 0 and .1: + 23,: 23 = CI