Kernel and range
I don't understand this kernel and range stuff.
Determine the kernel and range of each of the following linear transformations from R3 into R3.
(a) L(x) = (x3, x2, x1)^T
(b) L(x) = (x1, x1, x1)^T
And determine the kernel and range of each of the following linear transformations from P3 into P3.
(a) L(p(x)) = xp'(x)
(b) L(p(x)) = p(0)x + p(1)