math.la.t.mat.inv.augmented

Matrix inverses are motivated as a way to solve a linear system. The general algorithm of finding an inverse by row reducing an augmented matrix is described, and then implemented for a 3x3 matrix. Useful facts about inverses are stated and then illustrated with sample 2x2 matrices. (put first: need Example of finding the inverse of a 3-by-3 matrix by row reducing the augmented matrix)

- Created On
- February 19th, 2017
- 5 years ago
- Views
- 3
- Type
- Video
- Timeframe
- Pre-class
- Perspective
- Language
- English
- Content Type
- text/html; charset=utf-8

Suggested classroom activities on matrix inverses.

- Created On
- February 19th, 2017
- 5 years ago
- Views
- 2
- Type
- Timeframe
- In-class
- Perspective
- Language
- English
- Content Type
- text/html; charset=utf-8

Statements that are equivalent to a square matrix being invertible; examples.

- Created On
- August 21st, 2017
- 4 years ago
- Views
- 3
- Type
- Video
- Language
- English
- Content Type
- text/html; charset=utf-8

Properties of matrix inversion: inverse of the inverse, inverse of the transpose, inverse of a product; elementary matrices and corresponding row operations; a matrix is invertible if and only if it is row-equivalent to the identity matrix; row-reduction algorithm for computing matrix inverse

- Created On
- August 25th, 2017
- 4 years ago
- Views
- 3
- Type
- Video
- Language
- English
- Content Type
- text/html; charset=utf-8

The inverse of a square matrix, and solutions to linear systems with square coefficient matrices, are intimately connected.

- License
- GFDL-1.2
- Submitted At
- September 11th, 2017
- 4 years ago
- Views
- 3
- Type
- Language
- English
- Content Type
- text/html