Help! Use Gauss-Jordan elimination (row reduction) to find all solutions to the following system of linear equations? 2x + 3y - z = 3 - x + 4y = 9 4x - y - z = -7 How? Help!
1 Answer
Please see the explanation for steps leading to the answer:
Explanation:
Given: 2x + 3y - z = 3, - x + 4y = 9, 4x - y - z = -7
I am going to put the second equation into the first row of an augmented matrix:
Add the first equation as the second row in the matrix:
Add the third equation as the third row in the matrix:
Multiply the row 1 by 2 and add to row 2:
Multiply the row 1 by 4 and add to row 3:
Subtract row 3 from row 2:
Add row 2 to row 1:
Multiple row 1 by -1:
Divide row 2 by -4:
Multiply row 2 by -15 and add to row 3:
Multiply row 3 by -1: