MATH 251 - Matrix Algebra for Engineers

Announcements

None at this time.

Lecture Notes

In case they prove helpful, on D2L (online.camosun.ca) I have posted copies of my lecture notes.

Homework Problems

Current, 5th edition of Linear Algebra: A Modern Introduction by Poole.

Older, 4th edition of Linear Algebra: A Modern Introduction by Poole.

Assignments are due by the end of class on the due dates.

Assignment Sections of Textbook Due Date
Assignment 1 Solutions 1.1, 1.2, 1.3, Expl. Cross Product TBA
Assignment 2 Solutions 2.1, 2.2, 2.3, 2.4 TBA
Assignment 3 Solutions 3.1, 3.2, 3.3 TBA
Assignment 4 Solutions 3.4, 3.5, 3.6 TBA
Assignment 5 Solutions App. C, 4.1, 4.2, Expl. Determinants TBA
Assignment 6 Solutions 4.3, 4.4, 5.1, 5.2 TBA
Assignment 7 Solutions 5.3, 5.4, 7.3 TBA

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 1Y
Solutions

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 2Y
Solutions

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 3Y
Solutions

Sample Test 3Z
Solutions
Remaining 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.

Gilles Cazelais has provided a set of review questions along with solutions.

MATLAB Assignment and Documentation


Software Links


Links to other MATH 251 Webpages


Miscellaneous Links


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