This course is an introduction to linear algebra. Topics we will cover include basic properties of systems of linear equations, matrices and matrix algebra, determinants, vector spaces, subspaces, linear independence of vectors, basis and dimension of subspaces, linear transformations, eigenvalues and eigenvectors of a matrix, orthogonality of vectors, inner product and length of vectors.
Ongoing course
Time: MWF 03:00-03:50PM
Location: Zoom
Office hours: MF 17:00 – 17:50PM (I will be available on Zoom)
Important messages
Further reading and updates
Hello everyone! I’ve just uploaded the presentations I made for our last class. There are some exercises I made in the last slide of the Matrix Map presentation. I strongly recommend you give them a try…
Grading
Homework: 25% – Weekly homework (you must turn them in)
Midterm I (09/30): 20%
Midterm II (11/13): 25%
Final (12/09): 30%
Homework sets
Homework #1
Section 1.1: 4, 9, 10, 12, 13, 19, 20, 23
Section 1.2: 1, 2, 11, 12, 15, 16, 25
Due to 09/04
Homework #2:
Section 1.3: 1, 2, 5, 6, 9, 14, 15, 22, 24, 25, 27
Section 1.4: 1, 4, 5, 11, 13, 14, 17, 32, 36
Due to 09/11
Homework #3:
Section 1.5: 5,6,11,13,15,23,24,26,29-30
Section 1.7: 1,4,8, 9,11,15,20,21,22,23,24,27,28,33-38
Homework #4
Section 1.8: 1, 2, 3, 5, 7, 8, 9, 11, 13, 17, 19, 21, 22, 36
Section 1.9: 1, 2, 17, 22, 23, 24, 34
Due to 09/28
Textbook
Other books I like
Course notes
The Standard Matrix of a Linear Transformation – MATH 2130
The standard Matrix of a Linear Transformation
Introduction to Linear Transformations – MATH 2130
Introduction to Linear Transformations
Solution sets of matrix equations – MATH 2130
Describing solution sets in the parametric vector form
The Matrix Equation AX=B – MATH 2130
A new way to see linear systems: matrices acting on vectors.
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Glossary
Important concepts we see throughout the course. Hit the button to check them out!
