SOLUTION: how can i get resolve this by gaussian elemination with back-substitution or gauss-jordan elimination?
3a+b-c=0
2a+3b-5c=1
a-2b+3c=-4
Algebra ->
Matrices-and-determiminant
-> SOLUTION: how can i get resolve this by gaussian elemination with back-substitution or gauss-jordan elimination?
3a+b-c=0
2a+3b-5c=1
a-2b+3c=-4
Log On
Question 181548: how can i get resolve this by gaussian elemination with back-substitution or gauss-jordan elimination?
3a+b-c=0
2a+3b-5c=1
a-2b+3c=-4 Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! 3a +b -c= 0
2a+3b-5c= 1
a-2b+3c= -4
---------------
Rearrange the equations:
a-2b+3c =-4
3a+b-c = 0
2a+3b-5c= 1
---------------
Subtract 3 times the 1st from the 2nd.
Subtract 2times the 1st from the 3rd.
a-2b+3c = -4
0+7b-10c = 12
0+7b-11c = 9
----------------------
Subtract the 2nd from the 3rd.
a-2b+3c = -4
0+7b-10c = 12
0+ 0-1c = -3
-----------------
Solve for c and substitute into 1st and 2nd.
c = 3
---
a-2b+9=-4
0+7b-30=12
---
Solve for b and substitute into 1st
7b = 42
b = 6
----
a-2*6+9 = -4
a - 3 = -4
a = -1
------------------
Ans:
a = -1
b = 6
c = 3
========================
Cheers,
Stan H.
(