Part 1: Matrices A=\begin{pmatrix}2&-1\\ 1&3\end{pmatrix}\:\:B=\begin{pmatrix}-1&1\\ 0&-2\end{pmatrix} 1. a. Find (A - B)^2 b. Find A^2 - 2AB + B^2 c. With variables and numbers, (a - b)^2 = a^2 - 2ab + b^2. Is the same thing true for matrices? Explain your answer. a. Find (A - B)(A + B) b. Find A^2-B^2 c With variables and numbers, (a - b)(a + b) - a^2- b^2. Is the same thing true for matrices? Explain your answer 3) a. Find (A + B)^2 b. Find A^2 + AB + BA + B^2 c How are the results of parts a and b related? d. in general, does AB = BA? Explain your answer.