$1.$ Manually solve Node $1$ and Node $2$

Please try to explain in as much detail what steps have being done, im trying to understand how to tackle this problem.

$2.$ Use MatLab to solve the equation and validate manual solutions

$3.$ Formulate the problem into a matrix equation of the form Ax$=$B

$4.$ Write a MatLab m$-$file to solve the two$-$node AC circuit problem, ensuring it works correctly.

$5.$ Modify the m$-$file to solve N$-$node AC circuit problems, with matrix sizes and entries input by the user.