Given the basis G =

1, -1/2, 1/4, -1/8

0, 1/2, -1/2, 3/8

0, 0, 1/4, -3/8

0, 0, 0, 1/8

And the polynomial v=

1 + x + x^2 + x^3

How can I find the coordinate vector (v)G ? I've only figured out that the answer should be a 4x1 column vector. Thanks for any help!