If they are linearly dependent, determine a non-trivial linear relation - Otherwise, if the vectors are linearly independent, enter 0's for the coefficients, since that relationship always holds.

Question

Let A= [3 -3 -2 -3], B=[33 -30 -10 -24], C=[9 -7 1 -4], D=[3 -2 1 -1]

___A+___ B+___ C+ ___D=0

Answer 1

xA+yB+zV+uD=0

solve the system of equations, you can get x=(-5/3)u,y=u/3,z=-u, that means you have infinity many solutions.

You can pick one answer : u=-3,x=5,y=-1,z=3

5A-B+3C-3D=0