Matrices for General Linear Transformations | Linear Algebra

We introduce transformation matrices for general linear transformations between vector spaces. We'll discuss the idea of translating a vector to coordinates, multiplying the coordinate vector by a transformation matrix, and then reverting back to a vector in the codomain, and we will derive the formula for the transformation matrix in the general case for finite-dimensional linear transformations. We'll see several examples as well involving matrices for linear transformations. #linearalgebra

Join Wrath of Math to get exclusive videos, lecture notes, and more:

★DONATE★

0:00 Intro
0:47 How the Matrix Works
3:22 Finding the Transformation Matrix
7:41 What is the Transformation Matrix
9:13 Finding a Transformation Matrix
11:28 Using Transformation Matrix
13:37 Multiple Matrices for one Transformation
17:18 Conclusion

Outro music by Ben Watts and is available for channel members.

Follow Wrath of Math on...