Find the solution of the linear system of equations or show that there is no unique solution. Start with

organizing the equations: all terms that contain variables should be in the left$-$hand side $($and ordered

x$,$ y$,$ z$,$ w$),$ the free terms $$ in the right$-$hand side. Then write the system of equations in matrix form AX

$=$ B$.$ Use Python to compute the determinant of A$.$ If the determinant is zero, report in your answers

there is no solution. If the determinant is NOT zero, solve for the unknowns x$,$ y$,$ z$,$ and w and report

the values in your PDF$.$ Save your Python code

Hint: A is the coefficient matrix $(4$ rows by $4$ columns$),$ X is the column vector of unknowns $(4$ rows

by $1$ column$),$ and B is the constant vector $($free terms, $4$ rows by $1$ column$).$

$3\mathrm{.}5$x $2$y $+4$z $$ w $=12$

$6$y $+8$w $+15=2\mathrm{.}4$z

$5$w $=7+2$x

$3$x $+$ z $=4\mathrm{.}7$y $+5$