# Math Help - basis

1. ## basis

let S = { v1 , v2} T = { w1, w2} be bases for R2

Given: V1 = ( 1, -2) V2= ( 3, 0)

Transition matrix from T to S be
[ 1 2 ]
[-1 0]

Find w1 and w2.

It means that $w_1=1v_1-1v_2$ and $w_2=2v_1-0v_2$
$w_1=(-2,-2)$
$w_2=(2,-4)$