# Least-squares Solution z of the Overdetermined System

• May 13th 2010, 08:54 PM
ktcyper03
Least-squares Solution z of the Overdetermined System
Find the Least-squares Solution z of the Overdetermined System
|-3 1 | | 70 |
| 1 1 | x = | 21 |
|-7 1 | | 110 |
| 5 1 | |-35 |

Excuse my poorly typed notation as that is supposed to be a matrix times x = another matrix.
• May 14th 2010, 03:21 AM
TKHunny
If your 4x2 matrix is A, have you considered multiplying from the left with $\left[\left(A^{T}\cdot A\right)^{-1}\cdot A^{T}\right]$?