I don't know if I'm doing this right, but if I solve for a and b in terms of c and d, I get:
But then if I solve the middle equation for b (to check), I get:
The last two b's are inconsistent! Have I done something wrong?
I keep getting inconsistent results with this one. I can't find a single vector that belongs to both sets. Is the question correctly formed?
Question:
Two subspaces S and T of R^3 are spanned by {(1,1,-2), (-1,1,0) } and { (1,1,0), (0,-11,1)} respectively. Find a non-zero vector X that belongs to .
This is what I did:
We need .
So,
Right so far?
From here I can't get any consistent solution for a, b such that .