Facit.

1.  
2.  
3. Col A = span{(0, 2, 0), (1, 1, 2), (2, 0, 1)}
   RowA = span {(1, 0, 0, 0.83), (0, 1, 0, 0.33), (0, 0, 1, 0.33)}
   Nul A = span {(−0, 83,−0.33,−0.33, 1)}
   Nul A^T = {(0, 0, 0)}
4. 
   
5. (a)  RowA = span {(1, 0, 2), (0, 1, 2)},  Nul A = span {(−2,−2, 1)}
          (1, 0, 2) · (−2,−2, 1) = 0,    (0, 1, 2) · (−2,−2, 1) = 0
   (b)   Vektor i nulrummet (2, 2,−1), vektor i rækkerummet (1, 1, 4)
6. 
   
7. (a)
        
   (b)
        
   (d)