Modern Control Theory William L Brogan 3rd Question 637 So

Modern Control Theory - William L Brogan - 3rd

Question 6.37: Solve for x1 and x2 if

(a) 2x1 - x2 = 5, x1 +2x2 = 3,

(B) in addition to the equations in a, a third equation is -x1 + x2 = 1. Use least squares.

Solution

2x1-x2=5   

x1+2x2=3

-x1+x2=1

add equations 1 and 3

x1=6

substitute x1 value in first equation

2*6-x2=5

x2=7