give two other vectors in R4 generated by the vectors 3012 0

give two other vectors in R^4 generated by the vectors (3,0,1,-2), (0,2,-3,1) and (4,3,-1,0)

For two other vectors we just take some linear combinations of the given vectors.

Vector 1:

1 (3,0,1,-2) + (-1) (0,2,-3,1) + 0 (4,3,-1,0)

= (3,0,1,-2) +(0,-2,3,-1) +(0,0,0,0)

= (3,-2,4,-3)

Vector 2:

-1 (3,0,1,-2) + (-1) (0,2,-3,1) + 0 (4,3,-1,0)

= (-3,0,-1,2) +(0,-2,3,-1) +(0,0,0,0)

= (-3, -2, 2, 1)