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 \( AB \) and \( BA \) for the given matrices \( A \) and \( B \), and then show that \( AB \neq BA \).

Given:
\[ A = \begin{bmatrix} 1 & -2 & 3 \\ 4 & 2 & 5 \end{bmatrix} \]
\[
B = \begin{bmatrix} 2 & 4 \\ 2 & 3 \\ 5 & 1 \end{bmatrix}
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