There are no proofs on the final exam. Enough of that was done in Strang's
 homework and the two midterm exams. There are applications of theorems. 

Problem types on the final exam.
 Problems 1,2: Essay questions from topics in the sample final exam.
 Problem 3: LU factorization
 Problem 4: Three possibilites with symbols
 Problem 5: Complete solution of a linear system
 Problem 6: Subspaces.
 Problem 7: Pivot theorem.
 Problem 8: Gram-Schmidt.
 Problem 9: Cramer's rule.
 Problem 10: Adjugate matrix.
 Problem 11: Diagonalization.
 Problem 12: Eigenvalues of a 4x4.
 Problem 13: Eigenvalues.
 Problem 14: Cayley-Hamilton.
 Problem 15: Spectral theorem for symmetric matrices.
 Problem 16: Linear transformations.
 Problem 17: Singular value decomposition.