(NEW) Change of coordinates 
(NEW) Linear Maps and Matrices 
(NEW) Orthogonal Projections (review), Associated Matrices, and the formula: A(A^tA)^(1)A^t 



Eigenvalues and eigenvectors, Basics (PDF) 
Eigenvalues, eigenvectors and diagonalisability with an example (PDF) 
A Remark: When does Bx=0 have a nonzero solution? 
Diagonalisability 
Further discussion on Characteristic Polynomials 



Inner Product Spaces 1 
Inner Product Spaces 2 
Inner Product Spaces 3: Orthogonal Projections 
Inner Product Spaces 3: GrammSchmidt 
Inner Product Spaces IV 
An example of using Orthogonal Projection 


Linear Maps on Inner Product Spaces I 
Linear Maps on Inner Product Spaces II 