Linear algebra review for CompSci 369, University of Auckland
Channel: David Welch
Date: 07/03/2017

An overview of the concepts from linear algebra that well be using in CompSci 369 Computational Science. Use links below to directly go to specific topics in the review. 

0:00 Matrix definition
1:15 Matrix transpose
3:04 Matrix product
7:24 Vector definition
9:41 Dot product
12:53 Magnitude of a vector
14:36 Outer product
16:39 Product of a matrix and vector
19:33 Identity matrix
21:26 Matrix inverse
22:13 Invertible and singular matrices
22:55 Determinants
26:55 Properties of the determinant
28:46 Eigenvalues and eigenvectors
32:27 Example: finding eigenvalues
32:27 Example: finding eigenvectors
37:58 Orthogonal vectors
39:11 Mutually orthogonal sets
39:51 Normalised vectors
40:35 Orthonormal sets
41:06 Eigenvalues of a square symmetric matrix
42:09 Eigenvector representation of a matrix