Reading

As described in the syllabus, you are expected to read each section prior to each class. The reading assignments and anticipated dates are listed below.

Note: All dates further than one week in advance are tentative, and may be changed without notice.

For quizzes (on Canvas):

  • Pay attention to the due dates below, some days have two sections due. If any dates below conflict with those on Canvas, the version on Canvas is the “official” version.
  • You may work with others on these quizzes.

Chapter 1 – Linear Equations in Linear Algebra

  • Section 1.1: Systems of Linear Equations
    • read pp. 2-9 [due Aug 23]
  • Section 1.2: Row Reduction and Echelon Forms
    • read pp. 12-21 [due Aug 23]
  • Section 1.3: Vector Equations
    • read pp. 24-31 [due Aug 28]
  • Section 1.4: The Matrix Equation \(Ax=b\)
    • read pp. 35-40 [due Aug 30]
  • Section 1.5: Solution Sets of Linear Equations
    • read pp. 43-47 [due Sep 4]
  • Section 1.7: Linear Independence
    • read pp. 56-61 [due Sep 6]
  • Section 1.8: Introduction to Linear Transformations
    • read pp. 63-69 [due Sep 11]
  • Section 1.9: The Matrix of a Linear Transformation
    • read pp. 71-78 [due Sep 13]

Chapter 2 – Matrix Algebra

  • Section 2.1: Matrix Operations
    • read pp. 94-102 [due Sep 18]
  • Section 2.2: The Inverse of a Matrix
    • read pp. 104-111 [due Sep 18]
  • Section 2.3: Characterizations of Invertible Matrices
    • read pp. 113-116 [due Sep 20]
  • Section 2.5: Matrix Factorizations
    • read pp. 125-129 [due Sep 25]

Chapter 3 – Determinants

  • Section 3.1: Introduction to Determinants
    • read pp. 166-169 [due Sep 25]
  • Section 3.2: Properties of Determinants
    • read pp. 171-176 [due Sep 27]
  • Section 3.3: Cramer’s Rule
    • read pp. 179-182 [due Oct 2]

Chapter 4 – Vector Spaces

  • Section 4.1: Vector Spaces and Subspaces
    • read pp. 192-197 [due Oct 11]
  • Section 4.2: Null Spaces, Column Spaces, and Linear Transformations
    • read pp. 200-207 [due Oct 11]
  • Section 4.3: Linearly Independent Sets: Bases
    • read pp. 210-215 [due Oct 16]

Chapter 5 – Eigenvalues and Eigenvectors

  • Section 5.1: Eigenvectors and Eigenvalues
    • read pp. 268-273 [due Oct 18]
  • Section 5.2: The Characteristic Equation
    • read pp. 276-281 [due Oct 23]
  • Section 5.3: Diagonalization
    • read pp. 283-288 [due Oct 25]
  • Section 5.5: Complex Eigenvalues
    • read pp. 297-302 [due Oct 30]

Chapter 6 – Orthogonality and Least Squares

  • Section 6.1: Inner Product, Length, and Orthogonality
    • read pp. 332-338 [due Nov 1]
  • Section 6.2: Orthogonal Sets
    • read pp. 340-346 [due Nov 1]
  • Section 6.3: Orthogonal Projections
    • read pp. 349-353 [due Nov 6]
  • Section 6.4: The Gram-Schmidt Process
    • read pp. 356-360 [due Nov 13]
  • Section 6.5: Least-Squares Problems
    • read pp. 362-367 [due Nov 15]

Chapter 7 – Symmetric Matrices and Quadratic Forms

  • Section 7.1: Diagonalization of Symmetric Matrices
    • read pp. 397-401 [due Nov 20]
  • Section 7.4: The Singular Value Decomposition
    • read pp. 416-422 [due Nov 27]