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Lecture 9: Change of Basis Matrix

  • Lecture 9: Change of Basis Matrix

  • Class notes • 3 pages • 2023
  • Available in package deal
    • 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 10: Orthogonality

  • Lecture 10: Orthogonality

  • Class notes • 3 pages • 2023
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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 11: Finding Orthonormal Bases

  • Lecture 11: Finding Orthonormal Bases

  • Class notes • 2 pages • 2023
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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 12: Orthogonal Matrices

  • Lecture 12: Orthogonal Matrices

  • Class notes • 3 pages • 2023
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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 13: Determinants

  • Lecture 13: Determinants

  • Class notes • 3 pages • 2023
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    • Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 6.1 Introduction to Determinants
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Lecture 14: Properties of the Determinant

  • Lecture 14: Properties of the Determinant

  • Class notes • 3 pages • 2023
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    • Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 6.2 Properties of the Determinant
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Lecture 15: Eigenvalues and Eigenvectors

  • Lecture 15: Eigenvalues and Eigenvectors

  • Class notes • 3 pages • 2023
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    • Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 7.1 Diagonalization
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Lecture 16: Finding Eigenvalues and Eigenvectors

  • Lecture 16: Finding Eigenvalues and Eigenvectors

  • Class notes • 3 pages • 2023
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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 17: More About Eigenvalues/Eigenvectors

  • Lecture 17: More About Eigenvalues/Eigenvectors

  • Class notes • 3 pages • 2023
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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 18: Complex Eigenvalues and Rotation-Scaling Matrices

  • Lecture 18: Complex Eigenvalues and Rotation-Scaling Matrices

  • Class notes • 3 pages • 2023
  • Available in package deal
    • Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 7.5 Complex Eigenvalues
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