Suppose (x;y; z) is a linear combination of (2;3;1) and (1;2;3). What determinant is zero? What equation does this give for the plane of all combinations?
Can someone give me a hint or show me how can I solve this, please?
I used the determinant
row1 = x y z row2 = 3 2 1 row3 = 1 2 3
and I reached the equation 4x-8y+4z
I don't know if it's correct or if it's supposed to equal zero and how....