Linear Algebra Book

1	Matrices	3
2	Vector spaces	19
3	Inner product spaces	47
4	Bilinear and sesquilinear forms	61
5	Orthogonal bases	73
6	When is a form definite?	94
7	Quadratic forms and Sylvester's law of inertia	106
8	Linear transformations	127
9	Polynomials	142
10	Eigenvalues and eigenvectors	151
11	The minimum polynomial	162
12	Diagonalization	174
13	Self-adjoint transformations	187
14	The Jordan normal form	203
App. A	A theorem of analysis	222
App. B	Applications to quantum mechanics	224
	Index	227