Thanks Al. Haven't gotten to superposition yet but am somewhat familiar with. I do like to come out of the equations with actually having equal values on either side of the equal sign though. The book does use matrices equations and spends quite a few pages explaining how to resolve the matrix both by hand and using a calculator. I save myself a lot of grief by using Microsoft Mathematics on the computer where I plug in the matrix values and let the computer resolve them nearly instantaneously. Far cry from when we had to program card decks in PL1 to solve small matrices on an IBM 360 because it didn't have enough to run Fortran.you could check your work using superposition
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