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:
Worksheet, Solutions
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:
Helpful Explanations
Equivalent Systems
Section Notes from Professor Ponce
Solving Linear Systems
Span and Linear Independence
Matrix Multiplication and Inversion
Basis, Dimension, Null Space, Range Example
Eigenvalues, Eigenvectors, and Diagonalization
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