Lin Alg
Linear Algebra
Systems of equations, matrices, determinants, vector spaces, eigenvalues and eigenvectors, orthogonality and least squares, and the singular value decomposition.
Unit 1
Systems of Linear Equations
Row reduction.
Unit 2
Matrix Algebra
Matrices as objects.
Unit 3
Determinants
Scaling factors.
Unit 4
Vector Spaces
The abstract setting.
Unit 5
Eigenvalues and Eigenvectors
Directions that stay put.
Unit 6
Orthogonality and Least Squares
Projections.
Unit 7
Symmetric Matrices
The spectral theorem.