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

What is the dot product? What does it represent? Why does it have the formula that it does? All this is explained visually.

What is the dot product? What does it represent? Why does it have the formula that it does? All this is explained visually.

How do you think about a non-square matrix as a transformation?

In a talk about how we can build a robust future without wrecking the planet, sustainability expert Johan Rockstrom debuts the Earth3 model -- a new methodology that combines the UN Sustainable Development Goals with the nine planetary...

How can we begin to address the global, insidious problem of climate change — a problem that's too big for any one country to solve? Economist Nicholas Stern lays out a plan, presented to the UN's Climate Summit in 2014, showing how the...

What is the dot product? What does it represent? Why does it have the formula that it does? All this is explained visually.

How do you think about a non-square matrix as a transformation?

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

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

How do you think about a non-square matrix as a transformation?

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

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.

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

New ReviewIn this video, I compare graphing an "easy" logarithmic function with a "harder" one, detailing the steps for both. We focus on how to graph logarithms, including their transformations and asymptotes, which is crucial for understanding...

New ReviewCommon mistake students make graphing radical functions deal when there is two horizontal transformations.

New ReviewIn this video I am going to work through an example of helping a student understand how to identify the transformations for f(x) to g(x)

New ReviewIn this video we are going to review the types of problems of trigonometry that you can expect to see on your precalculus semester 1 midterm exam

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

This video, entitled "Two-Dimensional Figures," explains how to transform two-dimensional figures.

In this video, we investigate how changing "a" and "b" will affect functions int the form of y = a*b^x