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Linear Algebra Lecture Notes (ALL) Package Deal

contains all 22 lecture notes

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Lecture 22: The Complex Case of Continuous Dynamical Systems

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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 9.1 An Introduction to Continuous Dynamical Systems 9.2 The Complex Case: Euler's Formula

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Lecture 21: Continuous Dynamical Systems

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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 9.1 An Introduction to Continuous Dynamical Systems 9.2 The Complex Case: Euler's Formula

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Lecture 20: Quadratic Forms and Geometry

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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 8.2 Quadratic Forms

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Lecture 19: Symmetric Matrices

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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 8.1 Symmetric Matrices

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Lecture 18: Complex Eigenvalues and Rotation-Scaling Matrices

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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 7.5 Complex Eigenvalues

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Lecture 17: More About Eigenvalues/Eigenvectors

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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 7.4 More on Dynamical Systems 7.5 Complex Eigenvalues

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Lecture 16: Finding Eigenvalues and Eigenvectors

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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 7.2 Finding the Eigenvalues of a Matrix 7.3 Finding the Eigenvectors of a Matrix

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Lecture 15: Eigenvalues and Eigenvectors

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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 7.1 Diagonalization

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Lecture 14: Properties of the Determinant

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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 6.2 Properties of the Determinant

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Lecture 13: Determinants

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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 6.1 Introduction to Determinants

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Lecture 12: Orthogonal Matrices

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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 5.3 Orthogonal Transformations and Orthogonal Matrices 5.4 Least Squares and Data Fitting

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Lecture 11: Finding Orthonormal Bases

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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 5.1 Orthogonal Projections and Orthonormal Bases 5.2 Gram-Schmidt Process and QR Factorization

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Lecture 10: Orthogonality

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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 5.1 Orthogonal Projections and Orthonormal Bases

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Lecture 9: Change of Basis Matrix

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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 3.3 The Dimension of a Subspace of R^n 3.4 Coordinates

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Lecture 8: Rank-Nullity Theorem and Coordinates

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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 3.3 The Dimension of a Subspace of R^n 3.4 Coordinates

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Lecture 7: Span and Basis

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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 3.2 Subspaces of R^n; Bases and Linear Independence

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Lecture 6: Image and Kernel

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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 3.1 Image and Kernel of a Linear Transformation

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Lecture 5: Matrix Multiplication and Inverse Matrices

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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 2.3 Matrix Products 2.4 The Inverse of a Linear Transformation

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Lecture 4: Orthogonal Projections

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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 2.2 Linear Transformations in Geometry

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Lecture 3: Linear Transformations

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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 2.1 Introduction to Linear Transformations and Their Inverses

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Lecture 2: Vectors and Linear Combinations

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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 1.2 Matrices, Vectors, and Gauss-Jordan Elimination 1.3 On the Solutions of Linear Systems; Matrix Algebra

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Lecture 1: Linear Systems and Matrices

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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 1.1 Introduction to Linear Systems

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