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.

Psychologist Jonathan Haidt studies the five moral values that form the basis of our political choices, whether we're left, right or center. In this eye-opening talk, he pinpoints the moral values that liberals and conservatives tend to...

Without water, a human can only survive for about 100 hours. But there's a creature so resilient that it can go without it for decades. This 1-millimeter animal can survive both the hottest and coldest environments on earth, and can even...

Your nails can do more than just look pretty. They can tell you some things about your health!

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

When you're working on a problem with lots of numbers, as in economics, cryptography or 3D graphics, it helps to organize those numbers into a grid, or matrix. Bill Shillito shows us how to work with matrices, with tips for adding,...

On today's episode of Crash Course Anatomy & Physiology, Hank continues our exploration of tissues, with an introduction to your connective tissues.
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Howcast - Multiplying matrices is painless when you understand the method described here.

Pupil outcome: I can create a print profile portrait. Key learning points: - A print is a picture made by pressing an inked design onto paper. - A print is created by pressing your design onto a soft surface like foam or rubber. - A...

In this video we define matrices and learn how to refer to matrices

In this video, we examine how to add and subtract matrices.

In this video, we multiply matrices by a scalar.

In this video, we examine how you know when you can multiply two matrices, and what the size of the product matrix will be.

Find all six trig ratios given a point on the terminal side of theta. In this video we work this common type of problem. We use the Pythagorean Theorem to find "r" (hypotenuse), and then use the given "x" (adjacent) and "y" (opposite) to...

In this video, we learn how to multiply two matrices that are different sizes.

In this video, we investigate how to find the determinants of 2x2 and 3x3 matrices.

In this video, we define inverse matrices and investigate some of their properties.

In this video, we calculate an inverse matrix using row reduction.

In this video, we use inverse matrices to solve a system of linear equations.

In this video, we learn a method for calculating the inverse of a matrix.

Welcome to our comprehensive series of Advanced High School Mathematics Tutorials! This series is perfect for students, teachers, and anyone looking to deepen their understanding of higher-level mathematics. Each video breaks down...