SamverkanLinalgLIU

1. \displaystyle N(F)=[(1,1,1)^t]

2. \displaystyle V(F)=[(1,1,1)^t,(-2,-3,2)^t])=\{\boldsymbol{u}\in {\bf R}^3:\ 5x_1-4x_2-x_3=0\}.

3. \displaystyle N(F)\cap V(F)=(1,1,1)^t.

4. \displaystyle N(F^2)=[(0,1,1)^t,(1,0,0)^t]

5. \displaystyle V(F^2)=[(6,11,-14)^t].