Consider the following system of equations:

$50=5$ x$7$ x$2$

$4$ x$2+7$ x$3+30=0$

x$17$ x$3=403$ x$2+5$ x$1$

Use python solve function to solve for the unknowns.

Use python to compute transpose and the inverse of the coefficient matrix A$.$ Verify that AA$^1=$I $,$ where I is the identity matrix.

Use both hand calculations and python to verify that the coefficient matrix multiplied by the unknown vector results in the right hand side vector.