SOLUTION: t + 3u + v = 0 2t - 4u - v = 3 3t + u + 2v = 1 u + v = -1

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: t + 3u + v = 0 2t - 4u - v = 3 3t + u + 2v = 1 u + v = -1      Log On


   

Question 954203: t + 3u + v = 0
2t - 4u - v = 3
3t + u + 2v = 1
u + v = -1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A=%28matrix%284%2C3%2C1%2C3%2C1%2C2%2C-4%2C-1%2C3%2C1%2C2%2C0%2C1%2C1%29%29
Since the system is overdetermined you need to find the pseudoinverse of matrix A.
A%5Bp%5D=%28A%5Bt%5D%2AA%29%5E%28-1%29%2AA%5Bt%5D

So then,

and finally,


So then,

%28matrix%283%2C1%2Ct%2Cu%2Cv%29%29=%28matrix%283%2C1%2C1%2C0%2C-1%29%29