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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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