If `A=[[1,-2, 3,],[ 4, 2, 5,]]`and `B=[[2, 4], [2,3],[ 5, 1]]`, then find AB, BA. Show that `A B!=B A`.

Explanation

To solve the problem, we need to find the products of the matrices \( A \) and \( B \) in both orders: \( AB \) and \( BA \). We will also show that \( AB \neq BA \).

### Step 1: Define the matrices
Given:
\[
A = \begin{bmatrix}
1 & -2 & 3 \\
4 & 2 & 5
...