Originally Posted by
HallsofIvy Since you have tried your best, how about showing <b>what</b> you tried so we will know better how to help?
You are given vectors $\displaystyle v_1= <3, 6>$ and $\displaystyle v_2= <-1, 0>$ and are asked to write x= <17, 13> in terms of the basis $\displaystyle \{v_1, v_2\}$. What that means is find coefficents $\displaystyle c_1$ and $\displaystyle c_2$ so that $\displaystyle c_1<3, 6>+ c_2<-1, 0>= <17, 13>$. That gives you two equations to solve for $\displaystyle c_1$ and $\displaystyle c_2$. Can you do that.