Thread: Need help with formation of basis in R3

v(1)=<6,-7,0>
v(2)=<-4,1,-7>
v(3)=<8,-24,k>

The three vectors form a basis in R3 if and only if k does not equal ____?


Thank You,
Diggidy

What ideas have you had so far?

Well, i know that v(1) v(2) and v(3) have to be linearly independent they also have to span V....

and i tried putting them into reduced row echelon form but i dont know what to do with the k

What did you get for the rref? As for the k, just treat it like any other number.