One is commonly asked to prove in college as part of a linear
algebra problem set that matrix multiplication is not commutative. i.e
If A and B are two matrices then :
But without getting into the Algebra part of it, why should this even
be true ? Let’s use linear transformations to get a feel for it.
If A and B are two Linear Transformations namely Rotation and Shear. Then it means that.
Is that true? Well, lets perform these linear operations on a unit square and find out:
(Rotation)(Shearing)
(Shearing)(Rotation)
You can clearly see that the resultant shape is not the same upon the
two transformations.This means that the order of matrix multiplication
matters a lot ! ( or matrix multiplication is not commutative.)
Have a great day!
Ecstasy Shots 