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

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

If you are feeling stuck, you might get benefits to be better at the task by watching cute animal videos.

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?

The Hypatia stone is one of the weirdest rocks on the planet. It's not just out of this world, it might be out of this solar system!

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 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 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 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.

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.

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,...

We just looked at some simple ways to solve systems of differential equations, via modeling and elimination. But there are other methods, some of which involve matrices. This will require that we remember some concepts from linear...

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 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.