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Here are notes of each days' lecture. Glaring errors will be removed, but mostly these will remain unedited.
Notes of Jun 18 - 1.1 Intro to systems of equations
Notes of Jun 19 - 1.2 Gaussian and Gauss-Jordan elimination
Notes of Jun 20 - 1.2 Homogeneous systems, row equivalence, 1.3 Polynomial interpolation
Notes of Jun 21 - 2.1 Matrix operations
Notes of Jun 25 - 2.2 and 2.3 Matrix operations and inverse matrices
Notes of Jun 26 - 2.3 Properties of inverse matrices, 2.4 Elementary matrices
Notes of Jun 27 - 2.4 Fundamental theorem of invertible matrices
Notes of Jun 28 - 3.1 Determinants, 3.2 Determinants and elementary matrices
Notes of Jul 2 - 3.3 Properties of determinants
Notes of Jul 5 - 3.3 Properties of determinants, 4.1 Vectors in R^n
Notes of Jul 9 - 4.1 Linear combinations in R^n, 4.2 Vector spaces
Notes of Jul 10 - 4.2 Vector spaces, 4.3 Subspaces of vector spaces
Notes of Jul 11 - 4.4 Spanning sets and linear independence
Notes of Jul 12 - 4.5 Basis and dimension
Notes of Jul 16 - 4.5 Basis and dimension
Notes of Jul 17 - 4.5 Dimension
Notes of Jul 18 - 4.6 Row space, column space of a matrix
Notes of Jul 23 - 4.6 Rank, nullspace of a matrix
Notes of Jul 24 - 4.6 Nullspace of A, 4.7 Coordinates of a vector relative to a basis
Notes of Jul 25 - 4.7 Change-of-basis matrix
Notes of Jul 26 - 4.7 Change-of-basis matrix, 5.1 Dot product in R^n
Jul 30 - [no notes]
Notes of Jul 31 - 5.1 Dot product, 5.2 Inner product spaces
Notes of Aug 1 - Determining linear independence of functioms
Notes of Aug 2 - 6.1 Linear transformations, 6.2 Kernel of a linear transformation
Notes of Aug 6 - 6.2 Kernel, range of a linear transformation
Notes of Aug 7 - 7.1 Eigenvalues and eigenvectors
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Date created: June 26, 2018 Last modified: August 8, 2018 6:48:42 AM PDT Maintained by: Russell La Puma