Matrix multiplication and Composition

In order to describe the effects of multiple sequential matrix transformation, such as a rotate and then a shear, we use matrix multiplication on those individual matrices to create a new matrix, called composition, to perform the action at once. 

Order of the Matrices matter

The following demonstrates that if the order is reversed, the vector output will be different

Matrix Multiplication is Associative

Also this is associative, meaning that parentheses does not matter, the pattern will still have the same result as long as the right to left order is the same 

End result will always look the same