# 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 Jan 24]

**Section 1.2: Row Reduction and Echelon Forms**- read pp. 12-21 [due Jan 24]

**Section 1.3: Vector Equations**- read pp. 24-31 [due Jan 29]

**Section 1.4: The Matrix Equation**\(Ax=b\)- read pp. 35-40 [due Jan 31]

**Section 1.5: Solution Sets of Linear Equations**- read pp. 43-47 [due Feb 5]

**Section 1.7: Linear Independence**- read pp. 56-61 [due Feb 7]

**Section 1.8: Introduction to Linear Transformations**- read pp. 63-69 [due Feb 12]

**Section 1.9: The Matrix of a Linear Transformation**- read pp. 71-78 [due Feb 14]

## Chapter 2 – Matrix Algebra¶

**Section 2.1: Matrix Operations**- read pp. 94-102 [due Feb 19]

**Section 2.2: The Inverse of a Matrix**- read pp. 104-111 [due Feb 19]

**Section 2.3: Characterizations of Invertible Matrices**- read pp. 113-116 [due Feb 21]

**Section 2.5: Matrix Factorizations**- read pp. 125-129 [due Feb 26]

## Chapter 3 – Determinants¶

**Section 3.1: Introduction to Determinants**- read pp. 166-169 [due Feb 26]

**Section 3.2: Properties of Determinants**- read pp. 171-176 [due Feb 28]

**Section 3.3: Cramer’s Rule**- read pp. 179-182 [due Mar 5]

## Chapter 4 – Vector Spaces¶

**Section 4.1: Vector Spaces and Subspaces**- read pp. 192-197 [due Mar 19]

**Section 4.2: Null Spaces, Column Spaces, and Linear Transformations**- read pp. 200-207 [due Mar 19]

**Section 4.3: Linearly Independent Sets: Bases**- read pp. 210-215 [due Mar 21]

## Chapter 5 – Eigenvalues and Eigenvectors¶

**Section 5.1: Eigenvectors and Eigenvalues**- read pp. 268-273 [due Mar 26]

**Section 5.2: The Characteristic Equation**- read pp. 276-281 [due Mar 28]

**Section 5.3: Diagonalization**- read pp. 283-288 [due Apr 2]

**Section 5.5: Complex Eigenvalues**- read pp. 297-302 [due Apr 4]

## Chapter 6 – Orthogonality and Least Squares¶

**Section 6.1: Inner Product, Length, and Orthogonality**- read pp. 332-338 [due Apr 9]

**Section 6.2: Orthogonal Sets**- read pp. 340-346 [due Apr 9]

**Section 6.3: Orthogonal Projections**- read pp. 349-353 [due Apr 11]

**Section 6.4: The Gram-Schmidt Process**- read pp. 356-360 [due Apr 16]

**Section 6.5: Least-Squares Problems**- read pp. 362-367 [due Apr 23]

## Chapter 7 – Symmetric Matrices and Quadratic Forms¶

**Section 7.1: Diagonalization of Symmetric Matrices**- read pp. 397-401 [due Apr 25]

**Section 7.4: The Singular Value Decomposition**- read pp. 416-422 [due Apr 30]