Midterm 1:
1. LU-factorization: mid1f06., mid1s07p.1 
2. Bases for column space, null space of A and A^T: mid1s07.2, mid1s07p.5    
3. Matrix for Linear transformations: exLec2.6, mid1s07p.9 
4. Bases for subspaces (of polynomials): mid1s07.4, mid1s07p.9   
5. Rank of matrix: Theoretical question: mid1s07p.7   

Midterm 2:
1. Projection and Gram-Schmidt orthogonalization procedure. 
   (mid2s07s.3, mid2s07ps.1, mid2s07ps.2, 3.3.14, 3.4.13, exLec3.4) 
2. Least Square Problem. (mid2f06.1, mid2f06.2, exLec3.3, 3.3.22) 
3. Diagonalization. (mid2s07s.5, mid2s07ps.5, 5.2.5, 5.2.15, exLec5.1) 
4. Discrete Dynamical System. (mid2s07ps.7, exLec5.3, 5.3.8) 
5. Determinant: Theoretical question: (mid2s07ps.3, mid2s07s.4)
6. Continuous dynamical system. exLec5.4, 

Final: Questions for midterms and:
1.  Projection and Gram-Schmidt orthogonalization procedure.
    (mid2s07s.3, mid2s07ps.1, mid2s07ps.2, 3.3.14, 3.4.13, exLec3.4)
2.  Bases for column space, null space of A and A^T: (mid1s07.2, mid1s07p.5
3.  Least Square Problem. (mid2f06.1, mid2f06.2, exLec3.3, 3.3.22)
4.  Determinant: Theoretical question: (mid2s07ps.3, mid2s07s.4)
5.  Continuous dynamical system and the exponential matrix. exLec5.4, ,
6.  Change of basis, similarity transformation 5.6.8, 5.6.11, ExLec5.6 
7.  Diagonalization of symmetric matrices. finf07.4, ExLec5.6, finf07s.4   
8.  Singular Value Decomposition. 6.3.2, 6.3.15, fins07s.5, fins05.4   

Other possible things, LDL^T factorization for symmetric or triangular
factorization or Jordan normal form.