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0:10:32

Matrix of a Transformation

0:08:32

Inner Products

0:07:04

The Nullspace is a Subspace

0:05:19

Computing a Nullspace

0:07:50

Row and Column Space

0:04:45

Basis and Dimension

0:10:08

Linear Combinations and Spans

0:09:05

A Subspace of 3d Space

0:06:28

Scaling the Zero Vector

0:03:04

3D Vectors

0:05:57

2D Vectors

0:14:22

Products and Invertibility

0:08:41

Determinants

0:10:01

Proof by Contradiction

0:08:49

Proof of The Inverse of a Scaled Invertible Matrix

0:05:01

Proof of an Additive Identity

0:10:36

The Number of Solutions to a Linear System - Proof

0:07:42

Writing an Invertible Matrix as a Product of Elementary Matrices

0:10:24

Gauss Jordan Method for Finding Inverses - Sage Included

0:05:54

Uniqueness of Inverses

0:05:43

Proving Operation Properties

0:03:41

Matrix Multiplication and Systems of Linear Equations

0:05:49

Matrix Multiplication

0:06:34

Using Sage Math Cell to Row Reduce