The vectors (1,2) ,(0,2) and (-1,1) are linearly dependent but how do you find the relation between them?
I tried finding it and I ended up with (-1,1) -(1/2)*(0,2)+(-1,1)=(0,0) when the right answer is (-1,1) -(3/2)*(0,2)+(-1,1)=(0,0). Why is it (3/2)?
Help please?
I tried finding it and I ended up with (-1,1) -(1/2)*(0,2)+(-1,1)=(0,0) when the right answer is (-1,1) -(3/2)*(0,2)+(-1,1)=(0,0). Why is it (3/2)?
Help please?
-
Your answer gives (-1,1) - (0,1) +(-1,1) = (-2,1) and not (0,0).
For linear dependence you need a*(1,2)+b*(0,2)+c*(-1,1)=(0,0)
giving a-c=0 and 2a+2b+c=0 . Note that if you sub a=1, then c=1 and b=-3/2.
You can also have multiples of these.
For linear dependence you need a*(1,2)+b*(0,2)+c*(-1,1)=(0,0)
giving a-c=0 and 2a+2b+c=0 . Note that if you sub a=1, then c=1 and b=-3/2.
You can also have multiples of these.