Matrix Transformations, Operators, Projection, Reflection, Rotation, Shear - Linear Algebra

This video explains what a matrix transformation is, four main types of linear transformations, including the translation of functions on the real numbers to transformations on vector spaces. Note that others exist in addition to orthogonal projection, reflection, rotation and shear, such as dilation and contraction, and compression and expansion or stretching.

0:00 Quick revision on functions
3:13 Transformations on vector spaces
6:25 Matrix (linear) transformations
10:03 Properties of matrix transformations
14:34 Finding standard matrices
18:58 Examples