Can someone explain why b can't be written as a linear combination of v1, v2, and v3? (These are all column vectors.)
I get infinite solutions when I try to solve the equation
c1v1 + c2v2 + c3v3 = b
but they don't actually work when I plug them in.
v1 = (1, -2, 0)
v2 = (0, 1, 2)
v3 = (5, -6, 8)
b = (2, -1, 6)