# Elementary matrices are invertible.

math.la.d.mat.elementary.inv

# Matrix inverses

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

##### math.la.t.equiv.identity
Created On
August 25th, 2017
3 years ago
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3
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Video
Language
English
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text/html; charset=utf-8

# Determinant of a Matrix - A First Course in Linear Algebra

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.

##### math.la.d.mat.elementary.inv
GFDL-1.2
Submitted At
September 11th, 2017
3 years ago
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2
Type
Textbook
Language
English
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text/html

# Invertible Matrix Theorem: Pre-Class Quiz (Canvas)Awaiting Moderation

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

##### math.la.d.mat.inv
CC-BY-SA-4.0
Created On
August 1st, 2016
4 years ago
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1
Type
Formative Quiz
Timeframe
Pre-class
Perspective
Introduction
Language
English
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