Math 4326 Linear Algebra Big Theorems
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.