## 2017-08-31

### Applied Linear (Spring 2017) by James Cook

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source: James Cook      2017年1月18日
Here are my Lectures from Math 221, a Sophomore level linear algebra course which is intended for engineering or other applied technical majors. We're using Thomas Shores' Applied Linear Algebra text, but, I'm likely to supplement with some of my own materials from past teaching of linear algebra.

systems of equations, Gauss Jordan, 1-17-17, part 1 59:51 Note, the excellent webtool I use in this Lecture is found at: http://www.math.odu.edu/~bogacki/cgi-...
systems of equations, Gauss Jordan, 1-17-17, part 2 7:44
complex arithmetic, how to factor polynomials over C, 1-19-17, part 1 59:51
complex arithmetic, how to factor polynomials over C, 1-19-17, part 2 16:43
complex example, structure of solution sets, 1-24-17, part 1 59:51
complex example, structure of solution sets, 1-24-17, part 2 15:31
matrix algebra and multiplication, 1-26-17, part 1 59:51
matrix algebra and multiplication, 1-26-17, part 2 17:49
on interpretations of the rref of a given matrix, finding inverses, 1-31-17 54:39
matrix column multiplication, blocks, 2-2-17, part 1 59:51
matrix column multiplication, blocks, 2-2-17, part 2 9:21
rank, linear transformation and its standard matrix, 2-7-17, part 1 59:51
rank, linear transformation and its standard matrix, 2-7-17, part 2 16:25
partial derivatives and linearization, determinants, 2-14-17, part 1 59:51
partial derivatives and linearization, determinants, 2-14-17, part 2 15:32
Cramer's Rule, Vector Space and Subspace, 2-16-17, part 1 59:51
Cramer's Rule, Vector Space and Subspace, 2-16-17, part 2 14:53
help with Mission 1, span, LI and coordinates, 2-21-17, part 1 59:51
help with Mission 1, span, LI and coordinates, 2-21-17, part 2 17:37
bases for matrix subspaces, words on Test 1, 2-23-17, part 1 59:33
bases for matrix subspaces, words on Test 1, 2-23-17, part 2 14:13
Test 1 overview, coordinate change and linear maps, 3-2-17, part 1 59:51
Test 1 overview, coordinate change and linear maps, 3-2-17, part 2 16:08
orthonormality in Euclidean space, 3-7-17, part 1 59:51
orthonormality in Euclidean space, 3-7-17, part 2 21:41
normal equation, linear least squares, 3-9-17, part 1 59:51
normal equation, linear least squares, 3-9-17, part 2 16:11
some hwk advice, inner product space, 3-21-17, part 1 59:51
some hwk advice, inner product space, 3-21-17, part 2 2:26
complex inner product space, orthogonal things, 3-23-17, part 1 59:51
complex inner product space, orthogonal things, 3-23-17, part 2 15:57
unitary matrices, help on homework, 3-28-17, part 1 59:51
unitary matrices, help on homework, 3-28-17, part 2 25:16
eigenvectors and values, spectral theorem, 4-6-17, part 1 59:51
eigenvectors and values, spectral theorem, 4-6-17, part 2 15:28
diagonalization and applications, 4-11-17, part 1 59:51
diagonalization and applications, 4-11-17, part 2 13:18
quadratic forms and eigenvectors, 4-13-17, part 1 59:51
quadratic forms and eigenvectors, 4-13-17, part 2 2:58
complex eigvectors, jordan blocks, deqns, 4-18-17, part 1 59:51
complex eigvectors, jordan blocks, deqns, 4-18-17, part 2 16:12
review of Test 3 solution, reminders about Tests 1,2, 5-2-17, part 1 59:51