Question

Use the Gauss-Jordan reduction to solve the following linear system: x1-x2+5x3=-4 5x1-4x2+3x3=-9 2x1 -34x3=14

Use the Gauss-Jordan reduction to solve the following linear system:

x1-x2+5x3=-4

5x1-4x2+3x3=-9

2x1 -34x3=14

augmented matrix is

 1 -1 5 -4 5 -4 3 -9 2 0 -34 14

convert into Reduced Row Eschelon Form...

Add (-5 * row1) to row2

 1 -1 5 -4 0 1 -22 11 2 0 -34 14

Add (-2 * row1) to row3

 1 -1 5 -4 0 1 -22 11 0 2 -44 22

Add (-2 * row2) to row3

 1 -1 5 -4 0 1 -22 11 0 0 0 0

Add (1 * row2) to row1

 1 0 -17 7 0 1 -22 11 0 0 0 0

there is no pivot entry at third column so find the general solution .

........free variable

general solution .is

Add (-2 * row1) to row3

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