MATH 251- Matrix Algebra for Engineers

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Homework Problems

• Section Exercises: A list of recommended practice problems is available here. The exercises themselves are available here in a password-protected PDF file (3.2MB). The password will be provided in class.
• Chapter Review Exercises: For extra practice, a list of recommended chapter review problems is available here. These exercises can be found in a PDF file, having the same password, which is available here.
• Exercise Answers: Answers to most odd-numbered textbook exercises (except for answers to Appendix exercises) can be found at the back of the textbook or in the Student Solutions Manual, which contains more detailed solutions. Answers have not been included in the PDF files above because doing so would have exceeded the amount allowable for "fair use" under copyright rules. Two copies each of the textbook and solutions manual can be found on reserve at the Lansdowne library (in addition to copies at Interurban). You can view the reservation status of these books by searching for MATH251 (no spaces) on the library's website.

Term Tests

 Test Sections of Textbook Test Date Sample Test Test 1 Solutions 1.1 The Geometry and Algebra of Vectors 1.2 Length and Angle: The Dot Product 1.3 Lines and Planes Exploration: The Cross Product 2.1 Introduction to Systems of Linear Equations 2.2 Direct Methods for Solving Linear Systems 2.3 Spanning Sets and Linear Independence 2.4 Applications TBA Sample Test 1Z Solutions Test 2 Solutions 3.1 Matrix Operations 3.2 Matrix Algebra 3.3 The Inverse of a Matrix 3.4 The LU Factorization 3.5 Subspaces, Basis, Dimension, and Rank 3.6 Introduction to Linear Transformations TBA Sample Test 2Z Solutions Test 3 Solutions Appendix C – Complex Numbers 4.1 Introduction to Eigenvalues and Eigenvectors 4.2 Determinants Exploration: Geometric Applications of Determinants 4.3 Eigenvalues and Eigenvectors of n×n Matrices 4.4 Similarity and Diagonalization 5.1 Orthogonality in Rn 5.2 Orthogonal Complements and Orthogonal Projections TBA Sample Test 3Z Solutions Note: The final exam will also cover the following sections: 5.3 The Gram-Schmidt Process and the QR Factorization 5.4 Orthogonal Diagonalization of Symmetric Matrices 7.3 Least Squares Approximation

Final Exam

The MATH 251 final exam will be a comprehensive, three hour exam and it will take place sometime during the final exam period.

You must write the final exam at the scheduled time as per Camosun College's policy on final examinations.

A set of practice questions (created by Gilles Cazelais) is available in addition to the textbook homework problems.