linear algebra II for statistics

this chapter covers the following topics

1.1     The inner product

1.2       Inner product spaces

1.3       Orthonormal sets

1.4       The Gram-Schmidt orthogonalization process

1.5       Cauchy-Schwartz and triangular inequalities

1.6       The dual space

1.7       Adjoint of linear operators

1.8       Self-adjoint linear operators

1.9       Isometry

1.10 Normal operators and the Spectral theorem