Help!!!!!! I have been given a problem which I have reduced to the following linear system:
z+w=102 x+y=129 z+y=75 w+x=156
Now, I want to solve. But every time I try to use substitution, I don't get anywhere. So, I figured on trying to set it up as a matrix, and solving using Cramer's Rule. But the matrix:
1 0 0 1 0 1 1 0 0 0 1 1 1 1 0 0
Has a determinant of 0, which my math book says results in no or infinant many solutions. So, as I last resourt, I entered it into my HP48's linear system solver. It (for those who aren't farmiliar with the HP48) asks for a coefficient's matrix, a constant matrix, and then spits back the solution in matrix form: [52 104 25 50]. My question is: HOW DID IT ARRIVE AT THIS ANSWER? I would think that it would utilize Cramer's rule and determinants, except that the determinant of the coefficient matrix is zero. Anyone know how the heck the HP48 solved this, or know of another method which I might be able to try to help me arrive at the correct answer? ...Eric Jonas email@example.com P.S. Could you also please e-mail me any information you discover? My ISP's news server has been experiencing difficulties over the past several days, and I don't want to miss any information which might point me in the right direction.