Question

For each linear function of phi on V, find u such that phi(v)= for every v is an element of V

Answer 1

1) \[\phi: R^3\rightarrow R \] defined by \[\phi (x,y,z)= x+2y-3z\]

2) \[\phi: C^3\rightarrow C \] defined by \[\phi (x,y,z)= ix+(2+3i)y+(1-2i)z\]

Answer 2

Isn't it clear ?
U in first case is
U=(1,2,-3)

In second \[(i, (2+3i), (1-2i))\]

Answer 3

I was right. Thanks!