# Math 4326 Linear Algebra Big Theorems

## Fall 2002

The "Big Theorems", one of which will be on the final exam, are:

**Rank & Nullity**, *Section 2.2*.

**Gram-Schmidt**, *Section 3.2, Thm. 3*.

**equivalence of projection and approximation**, *Section
3.3, Thm. 1*.

**distinct eigenvalues** (eigenvectors associated to distinct eigenvalues are linearly independent & therefore an operator with all distinct eigenvalues is diagonalizable), *Section 4.2, Thm. 3*.