Problem $2$: Consider a vector, $\{r\}=\{[0],[3],[6],[9],[12],[15]\}$ and matrix, $[A]=\left[\begin{array}{ccc}3& -0\mathrm{.}1& -0\mathrm{.}2\\ 0\mathrm{.}1& 7& -0\mathrm{.}3\\ 0\mathrm{.}3& -0\mathrm{.}2& 10\end{array}\right]$

$($a$)$ Calculate the $($i$)$ norm $1($ii$)$ norm $2($iii$)$ infinite norms of the vector. Show hand calculations of all steps of the computation.

$($b$)$ Calculate the $($i$)$ norm $1($ii$)$ Frobenius norm $($iii$)$ infinite norms of the matrix. Show hand calculations of all steps of the computation.

$($c$)$ Show the comparison of your results with MATLAB commands. $($MATLAB Script$)$