Matrix Transformations Are The Same Thing As Linear Transformations

Learning Objectives: 1) Recall the defining properties of

Quite possibly the most important idea for understanding

Learning Objectives: 1) Recognize that we have to categories of

Introduction to

This is a very elementary discussion of

This video introduces a proof of Theorem 1.8.3 (

In this lecutre, we will discuss

Learning Objectives: 1) Given a

In this video we're going to set out to show that

This video compares the definitions and properties of one-to-one and onto

Learning Objectives: 1) Conceive of Ax=b dynamically,

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Showing how ANY

Remember when we learned about functions in algebra? Now we will learn something analogous for

In the previous episode, we talked about vectors and vector spaces. In this video, we want to get familiar with a framework in ...

Matrix

We will go over what it means by

In this video, we define a

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... only linear sorry the