SOLUTION: If the system of following equations is consistent then find the solution by Matrix Method - x + y+ 4z = 6 3x+ 2y -2z =9 5x + y+ 2z =13

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: If the system of following equations is consistent then find the solution by Matrix Method - x + y+ 4z = 6 3x+ 2y -2z =9 5x + y+ 2z =13      Log On


   

Question 1137455: If the system of following equations is consistent then find the solution by Matrix
Method -
x + y+ 4z = 6
3x+ 2y -2z =9
5x + y+ 2z =13
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
x+%2B+y%2B+4z+=+6
3x%2B+2y+-2z+=9
5x+%2B+y%2B+2z+=13+

Your matrix



Find the pivot in the 1st column in the 1st row



Eliminate the 1st column



Find the pivot in the 2nd column in the 2nd row (inversing the sign in the whole row)




Eliminate the 2nd column



Make the pivot in the 3rd column by dividing the 3rd row by 38



Eliminate the 3rd column


Solution set:
x+=+2
y+=+2
z+=+1%2F2