00:01
Ok, so in this exercise we know that 1b is equal to the standard vector e1.
00:10
We know that xb is equal to the standard vector e2 and finally x squared b is equal to the standard vector e3.
00:24
Perfect.
00:25
Now for part a of our exercise, well, here we need to write 1b in its general form.
00:36
And what is its general form? well, clearly, since an ordered basis of r3 is e1, e2, e3, here we are going to have 1, 0, 0.
00:49
Perfect.
00:50
Easy.
00:53
Now, negative 8 plus x squared in its general form.
01:00
Well, this one is going to be equal to what? we are going to have negative 8, the first coordinate, the second coordinate, which is going to be the coordinate corresponding to x, is going to be 0, and the third coordinate is going to be 1.
01:17
Now part c of our exercise, well, here we need to find the general form of negative 2x squared plus x plus 8...