Find the kernel (or nullspace) and the image of each linear maptogether with their basis.
(a) T :R4 ?R3 given by f(x,y,z,w)=(3x+y?3z+3w , x+y+z+w ,2x+y?z+2w)
(b) T :R3 ?R5 given by f(x,y,z)=(2x?y+6z , x?y?z , x+y?5z , z?y, ?x+2z)
c) T :R4 ?R3 given by f(x,y,z,w)=(x?y?3z+w , 2x?3y+z+2w ,3x+y?4z?w)
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