1) Determine whether the vectorxis in the span V of the vectorsv. Ifxis in V, find the coordinates ofxwith 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 ofR^2 such that [1; 2]B = [3; 5] and [3; 4]B = [2; 3].