SOLUTION: let A=[1,2,3;2,4,6;3,8,7;5,12,13] AND B=[B1,B2,B3] find the general solution in the form of x=xp+h of Ax=(0;6;-6)

Algebra ->  College  -> Linear Algebra -> SOLUTION: let A=[1,2,3;2,4,6;3,8,7;5,12,13] AND B=[B1,B2,B3] find the general solution in the form of x=xp+h of Ax=(0;6;-6)      Log On


   



Question 1062190: let A=[1,2,3;2,4,6;3,8,7;5,12,13] AND B=[B1,B2,B3]
find the general solution in the form of x=xp+h of Ax=(0;6;-6)

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
The reduced row echelon form of the augmented matrix is
:
1 2 0 0 -9
0 0 1 0 3
0 0 0 1 0
:
x1 + 2x2 = -9
x3 = 3
x4 = 0
:
let x2 be free and set = t
:
x1 = -2t -9
x2 = t
x3 = 3
x4 = 0
: