# Aaron Bagheri

### University of California, Santa Barbara

Math 4A!

Credit for most of these PDFs goes to Micah Pedrick . If you appreciate these, let me know so I can let him know!

Worksheets

 1.1 - Systems of Linear Equations: 1.2 - Row Reduction: 1.3 - Vector Equations: 1.4 - Matrix-Vector Products: 1.5 - Solution Sets of Linear Systems: 1.6 - Applications of Linear Systems: 1.7 - Linear Independence: 1.8 - Linear Transformations: 1.9 - The Matrix of a Linear Transformation:
 2.1 - Matrix Operations: 2.2 - The Inverse of a Matrix: 2.3 - Characterizing Invertible Matrices: 2.8 - Subspaces of R^n:
 3.1 - Determinants: 3.2 - Determinants and Row Operations:
 4.1 - Vector Spaces: 4.2 - Column and Null Spaces: 4.3 - Bases: 4.4 - Coordinates: 4.5 - Dimension and Rank:
 5.1 - Eigenvalues: 5.2 - Eigenvalues and Where to Find Them: 5.3 - Diagonalization:
 6.1 - Inner Products, Length, and Orthogonality: 6.2 - Orthogonal Sets: 6.3 - Orthogonal Projection: 6.4 - The Gram-Schmidt Process: