Question $1$

a$)$ Calculate the determinant of the following matrix:

$\left[\begin{array}{cccc}1& 0& 3& 1\\ 2& 2& 6& 0\\ -1& 0& -3& 0\\ 4& 1& 12& 0\end{array}\right]$

Show all your work. Use latex for clearer derivations if you prefer.

b$)$ Use Matlab, python or similar computational tool to calculate the determinant of this

matrix. Include in your submission a printout of the command window showing the result

of the calculation.