Create a $7\backslash$times $7$ matrix M$7$ via using the MATLAB statement:

M$7=$ magic$(7)$

Compute the row vector r and the column vector c whose elements are defined by the sums of the columns and the rows of M$7,$ respectively. Describe the unique characteristic of both r and c$.$

Use the MATLAB command eye$(7)$ to create the matrix I$7.$ Then compare I$7$ with the matrix I$7($flip$)$

which is resulted from applying the MATLAB command flip$($I$7).$ Describe their differences.

Generate a $7\backslash$times $7$ matrix A$,$ which is characterized by the property that the sums of its columns and the sums of its rows are uniformly reduced by $2\mathrm{.}5$ element$-$wise compared with the elements of r and c found in Part $($a$).$