SOLUTION: solve the augmented matrix for a three-equation system in three unknowns x, y, z. 3 1 -2: 10 0 2 -3: 4 0 0 1: 4

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Question 463770: solve the augmented matrix for a three-equation system in three unknowns x, y, z.
3 1 -2: 10
0 2 -3: 4
0 0 1: 4

Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
Proceed with Gauss-Jordan reduction:

~, by 3R3 + R2
~, by 2R3 + R1
~, R2/2
~, by -R2 + R1
~, by R1/3
Therefore, x = 10/3, y = 8, and z = 4.

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