Change of basis [ x ] B + [ y ] B = [ x+y ] B[

[Maxwhale]

change of basis [x]_B + [y]_B = [x+y]_B[

Homework Statement

Let B = {v1,...vn} be a basis for a vector space V, and let x = a1v1 + ... anvn and y = b1v1 + ...+ bnvn be arbitrary vectors in V.

Find [x]_B, [y]_B and [x+y]_B

Homework Equations

[x]_B + [y]_B = [x+y]_B

The Attempt at a Solution

No clue

 

[Hurkyl]

Definitions are usually a good place to start.