The determinant has a very natural visual intuition, even though it's formula can make it seem more complicated than it really is.

How do you think about the column space and null space of a matrix visually? How do you think about the inverse of a matrix?

How to think of 3x3 matrices as transforming 3d space

How to think of 3x3 matrices as transforming 3d space

How to think about matrix multiplication visually as successively applying two different linear transformations.

When you think of matrices as transforming space, rather than as grids of numbers, so much of linear algebra starts to make sense.

In 1991, Shaka Senghor shot and killed a man. He was, he says, "a drug dealer with a quick temper and a semi-automatic pistol." Jailed for second degree murder, that could very well have been the end of the story. But it wasn't. Instead,...

The previous videos in this series:

Chapter 1: Why Relativity is
Hard
Chapter 2: Spacetime

Diagrams

This video is chapter 3 in my series on special relativity, and it covers boosts, galilean transformations,...

The determinant has a very natural visual intuition, even though it's formula can make it seem more complicated than it really is.

Paul Andersen describes mechanisms that increase the genetic variation within a population. He begins by discussing how horizontal transfer can move genetic material between bacteria. Transformation, transduction, and conjugation in...

Paul Andersen explains the two major portions of the molecular biology lab in AP Biology. He starts by discussing the process of transformation. He explains how you can use the pGLO plasmid to produce glowing E. coli bacteria. He then...

Paul Andersen introduces the nucleic acids of life; RNA and DNA. He details the history of DNA from Griffith, to Avery, to Hershey and finally to Watson and Crick. He also details the difference between prokaryotic and eukaryotic...

When you hear the word symmetry, you might think generally of triangles, butterflies, or even ballerinas. But defined scientifically, symmetry is _a transformation that leaves an object unchanged." Huh? Colm Kelleher unpacks this...

With enough passion and practice, becoming a slam poet is within your reach. Explore a distant memory on paper, then read it out loud. Edit. Try reading it out loud again, and add your finishing touches. Gayle Danley offers five steps to...

New ReviewIn this video, I have sifted my Change Management library for my top 10 best change management book recommendations. Let me know yours, in the comments.

New ReviewOrganizational Change and Business Transformation are terms Project Managers encounter a lot. And it can be tricky to distinguish between what we mean by change and transformation. Let’s have a go.

New ReviewIn this video we are going to focus on the impact that transformations have on the square root function. In addition to that we will look at how to find the transformations of that function

New ReviewThe number is the same but the placement is different. How can we determine what the transformation is just by the placement?

New ReviewWhen we want to find the domain and range from a function it is helpful to know the domain and the range of the parent graph and the transformations

New ReviewIn this video, I'll walk you through how to graph cosecant functions, especially when they include a phase shift. We'll cover the amplitude and period to accurately graph the cosecant graph by first understanding its related sine...

In this Algebra 1 lesson, we will identify the correct vertex form of the given graph of a quadratic function. We dive into Common Core Standard HS.F-BF.3 as we explore how transformations affect functions — specifically...

An in-depth look at the AWS Cloud Adoption Framework (CAF), detailing its role in accelerating digital cloud transformation through foundational organizational capabilities, covering the four transformation domains - technological,...

This video explains heat transfer methods of radiation, conduction, and convection.

This video explains how nuclear fusion occurs in stars and causes them to shine.