MATH 221: Applied Linear Algebra
James Cook's Applied Linear Algebra Homepage:
Useful Materials and Links:
- Course Syllabus includes dates for Tests etc...
- Matrix Calculator Site - Will show steps for rref and many other calculations.
- Eigenvector calculator, ugly numbers no problem. Also deals with complex case no problem. However, does not find generalized e-vectors.
- note: students are encouraged to use Matlab to solve systems as indicated in homework.
Course Notes and lecture schedule:
These are based on my old Math 321 notes from 2009 and 2010. However, there is significant revision.
Lecture Notes for Math 221, Fall 2012.
I have posted my 2009 and 2010 notes in Course content in case you want to look at a proof I reference in the Math 221 notes.
Completing homework is probably the most important task you have for this course. I have many office hours. Ask when you are stuck.
- Homework 1:
- Homework 2:
- Homework 3:
- Homework 4:
- Homework 5:
- Homework 6:
- Homework 7:
- Homework 8:
- Homework 9:
- Homework 10:
Solutions to Homework from Lay's Linear Algebra:
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- Homework 1: on linear systems and Gaussian Elimination
- Homework 2: matrix properties, elementary and inverse matrices
- Homework 3: calculating inverse matrix, and determinants, Kramer's Rule
- Homework 4: spanning sets, linear independence, CCP, coordinate vectors
- Homework 5: row, column and null space of a matrix
- Homework 6: linear transformations
- Homework 7: dot-products, Gram Schmidt, orthogonal complements
- Homework 8: orthogonal operators and least square fitting
- Homework 9: inner products, real e-values and e-vectors
- Homework 10: e-value theory and complex e-values and vectors
- Homework 11: diagonalization and eigenbases
- Homework 12: solving systems of ODEqns via the matrix exponential/e-vector method
Last Modified: 8-2012