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. 

 

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