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- Question 4, Exercise 2.1
- \\ 4 & 4 & 1 \end{bmatrix}$.\\ Now \begin{align}\frac{1}{3}A^2&=\frac{1}{3}\left[ \begin{matrix} 1 & 4 & 4 \\ 4 & 1 & 4 \\ 4 & 4 & 1 \\ \end{matr... 4 \\ 4 & 4 & 1 \\ \end{matrix} \right]\\& =\frac{1}{3}\left[ \begin{matrix} 1+16+16 & 4+4+16 & ... & 16+4+4 & 16+16+1 \\ \end{matrix} \right] \\ &=\frac{1}{3}\left[ \begin{matrix} 33 & 24 & 24 \\