Syllabus
How Gaussian elimination
works
The Gram-Schmidt
orthonormalization process
Passover lecture notes from
March 31 and
April 5
(courtesy of Eric Mannes)
Practice midterm (and answers)
Midterm
examination and answers
Practice
final and answers
Final
examination and answers
Assignment #1, due Friday,
January 29.
Assignment #2, due Friday,
February 5.
Assignment #3, due Friday,
February 12.
Assignment #4, due Friday,
February 19.
Assignment #5, due Friday,
February 26.
Assignment #6, due Friday,
March 5.
Assignment #7, due Friday,
March 12.
Assignment #8, due Friday,
March 26.
Assignment #9, due Friday,
April 2.
Assignment #10, due Friday,
April 9.
Assignment #11, due Friday,
April 16.
Assignment #12, due Friday,
April 23.
Assignment #13, due Friday,
April 30.
Assignment #14, due never.
All are encouraged to take advantage
of the Columbia Mathematics Help Room in 406 Mathematics. A
schedule is
available here.
Check out the
Online Row Reducer, a
Java applet that does Gauss-Jordan elimination with rational
numbers for matrices of size up to 6 x 6. Written
by Greg Landweber.
And here is a Java applet for 3 x 3 matrix
multiplication:
the Java Script
Linear Algebra Calculator
by Marcus Kazmierczak. This one
uses floating-point decimals, not so good with fractions.
A classic of geeky humor,
the Declaration
of Linear Independence by
David Grabiner.