00:01
All right, so we have a transformation here from v to v.
00:04
V is stated to be all of the sequences of real numbers, so that's going to be x0, x1, dot dot dot, going on forever.
00:14
It's any real sequence.
00:15
We want to find the image and the kernel of t here, given in exercise 33.
00:21
So i'm going to claim first of all the image of t is equal to all of v.
00:28
We can see that here because we want t of some vector v to be an arbitrary vector, x0, x1, x2, etc.
00:40
Well, we just need to set v to be, for example, x0, x0, x1, x1, x2, x2, and so on...
