Perception of linear algebra 2

Recently in to see liuyubobobo Of Linear algebra , It feels good , Some insights are recorded ~~~

​ A little insight ：

The Union Law of matrix, second ！ The associative law of matrices is very important

This figure , A two-step , First along x The axis turns , Reengaging y The axis turns .

because The multiplication of matrices satisfies the law of association , So we can put Tx*Ty To calculate , Get a new transformation factor .

Then the new transformation factor can complete the purpose at one time ！！！

But there's a problem , The multiplication of matrices does not satisfy the commutative law , But we found that , First along x The axis turns , Reengaging y Axis flip and First along y The axis turns , Then flip along the lower axis , It's the same .

That's because Tx*Ty Just and  Ty*Tx equal .