MATH 251- Matrix Algebra for Engineers

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Homework Problems



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.


MATLAB/Octave



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