SOLUTION: Q.1 Solve the following question using Gauss Elimination. - 3x + 2y - 6z = 6 5x + 7y - 5z = 6 x + 4y - 2z = 8 Q.2 Use Gaussian Elimination and Gauss-Jordan Eliminati

Algebra ->  Matrices-and-determiminant -> SOLUTION: Q.1 Solve the following question using Gauss Elimination. - 3x + 2y - 6z = 6 5x + 7y - 5z = 6 x + 4y - 2z = 8 Q.2 Use Gaussian Elimination and Gauss-Jordan Eliminati      Log On


   

Question 1178021: Q.1 Solve the following question using Gauss Elimination. - 3x + 2y - 6z = 6
5x + 7y - 5z = 6
x + 4y - 2z = 8
Q.2 Use Gaussian Elimination and Gauss-Jordan Elimination to solve the
following system of linear equations - 2x+y - z=4
x+2y+3z=13
3x+z= - 1
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

1.
+-+3x+%2B+2y+-+6z+=+6
5x+%2B+7y+-+5z+=+6
x+%2B+4y+-+2z+=+8

Your matrix


Find the pivot in the 1st column and swap the 3rd and the 1st rows

Eliminate the 1st column


Make the pivot in the 2nd column by dividing the 2nd row by -13



Eliminate the 2nd column


Make the pivot in the 3rd column by dividing the 3rd row by -86%2F13


Eliminate the 3rd column


soluions:
x+=+-2
y+=+3
z+=+1



2.
-+2x%2By+-+z=4
x%2B2y%2B3z=13
3x%2Bz=+-+1
Your matrix


Find the pivot in the 1st column and swap the 2nd and the 1st rows

Eliminate the 1st column


Make the pivot in the 2nd column by dividing the 2nd row by 5


Eliminate the 2nd column


Make the pivot in the 3rd column by dividing the 3rd row by -2


Eliminate the 3rd column


Solution set:
x+=+-1
y+=+4
z+=+2