## Coordinates

1) Determine whether the vector x is in the span V of the vectors v. If x is in V, find the coordinates of x with respect to the basis B = (v1,....,vm) of V, and write the coordinate vector [x]B.

; denotes a new row

x = [2; 3; 4]
v1 = [1; 1; 0]
v2 = [2; 0; 1]

2) Find a basis B of R^2 such that [1; 2]B = [3; 5] and [3; 4]B = [2; 3].