Finding node voltages with nodal analysis using complex impedances

[willow16v]

Hi,
I would be grateful of any advice on how to solve the problem below.

My aim is to find the voltages at nodes 2, 3, and 4, by means nodal analysis and thus creating simultaneous equations and solving them using matricies or matrix

I understand kirchhoffs law etc however its the complex numbers that are throwing me when working out the equations at each node.

I have tried for weeks now and it seems i am beaten yet again on my failure of rearranging algebra.

Any help would be great.

A=60 B=15 C=153


See diagram Below.

Cheers Chris

 

[djeitnstine]

1. where is your working?

2. you should have a labeling convention.