Question

please help!: linear algebra

Answer 1

For each linear function phi on V, find \[u \in V, such that \phi(v) =<v,u> for every v \in V\]
\[\phi: R^3 \rightarrow R, \phi(x,y,z)=x+2y-3z\]

Answer 2

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