00:02
Yes, so 4a for the basis, 100, 010, and 0 .01, this is a standard basis, so the dual basis is just going to be f sub 1, which is 1 -0, and f -2, which is 0 -1, and f -sub -3, which is 0 -0 -1.
00:24
And these act on vectors via dot product.
00:29
And then for b, but we can denote here the matrix of the basis vectors as the columns.
00:35
So we're going to have v is equal to the matrix.
00:38
So our first column is going to be 1, negative, 2, 3...