HOMEWORK ASSIGNMENTS  FOR MATH 300

The following Mathematica notebooks contain the data for each assigned exercise in the given section of the text. You will compute and record your answers in the notebook, then e-mail the completed notebook to your instructor before 3:00 p.m. on the date of the next class session.  Each homework assignment will be given a grade out of a possible 20 points.  At the close of these semester, these homework grades will be averaged and converted to a 100-point scale.

• Section 1.1 -- Systems of Linear Equations

• Section 1.2 -- Row Reduction and Echelon Forms

• Section 1.3 -- Vector Equations

• Section 1.4 -- The Matrix Equation Ax=b

• Section 1.5 -- Solution Sets of Linear Systems

• Section 1.6 -- Applications of Linear Systems

• Section 1.7 -- Linear Independence

• Section 1.8 -- Introduction to Linear Transformations

• Section 1.9 -- The Matrix of a Linear Transformation

• Section 1.10 -- Linear Models in Business, Science, and Engineering
   

• Section 2.1 -- Matrix Operations

• Section 2.2 -- The Inverse of a Matrix

• Section 2.3 -- The Invertible Matrix Theorem

• Section 2.4 -- Partitioned Matrices

• Section 2.5 -- The L-U Decomposition

• Section 2.6 -- The Leontief Input-Output Model

• Section 2.7 -- Applications to Computer Graphics

• Section 2.8 -- Subspaces of Rⁿ

• Section 2.9 -- Dimension and Rank
   

• Section 3.1 -- Definition of the Determinant

• Section 3.2 -- Properties of the Determinant

• Section 3.3 -- Volume and Linear Transformations
   

• Section 4.9 -- Markov Chains
   

• Section 5.1 -- Eigenvalues and Eigenvectors

• Section 5.2 -- The Characteristic Equation

• Section 5.3 -- Diagonalization

• Section 5.4 -- Eigenvectors and Linear Transformations

• Section 5.5 -- Complex Eigenvalues

• Section 5.6 -- Discrete Dynamical Systems
   

• Section 6.1 -- Inner Product, Length, and Orthogonality

• Section 6.2 -- Orthogonal Sets

• Section 6.3 -- Orthogonal Projections

• Section 6.4 -- The Gram-Schmidt Process and the QR Factorization

• Section 6.5 -- Least-Squares Problems

• Section 6.6 -- Linear Models