Positive Definite Matrices

Spectral Theorem; Normal Matrices

Quadratic Forms

Hermitian Matrices; Schur's Theorem

Exponential of a matrix; Complex vector spaces; Hermitian Matrices

Review 5.5,5.6,6.1,6.3

Eigenvalues; Diagonalization

Gram Schmidt 2; Eigenvalues 1

Approximation of Functions; Gram-Schmidt I

Orthonormal Sets; Orthogonal Matrices

Linear Algebra

Inner Product Space 1

Orthogonal Subspaces 2;Least Squares 1

5.2#1,3;LeastSquares 2

Orthogonal Subspaces

The scalar product in R^n

Review; 4.2 #5,8; 4.3#5,7

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