A Linear transformation acts on a vector by shifting it into another coordinate system or vector space. Combining these, we can have a set of matrix multiplications that acts as a single transformation from one vector space to another.
By definition, a linear transformation is a transformation that obeys the two rules(1)
In this section, however, we explore the combination of linear transformations to achieve another linear transformation that may be slightly more computationally difficult.
It graphically looks something like this
*credit for the image from our Linear Algebra Textbook