Elementary matrices are invertible.

math.la.d.mat.elementary.inv


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


Before we define the determinant of a matrix, we take a slight detour to introduce elementary matrices. These will bring us back to the beginning of the course and our old friend, row operations.

License
GFDL-1.2
Submitted At
September 11th, 2017
 3 years ago
Views
2
Type
 Textbook
Language
 English
Content Type
text/html

A four-question check-your-understanding quiz for students to complete after having watched a pre-class video on the Invertible Matrix Theorem.

License
CC-BY-SA-4.0
Created On
August 1st, 2016
4 years ago
View
1
Type
 Formative Quiz
Timeframe
 Pre-class
Perspective
 Introduction
Language
 English
Content Type
text/html; charset=utf-8