An augmented matrix that represents a system of linear equations has been reduced using Gauss-Jordan elimination. Write a solution represented by the augmented matrix.

Question

An augmented matrix that represents a system of linear equations has been reduced using Gauss-Jordan elimination. Write a solution represented by the augmented matrix.

1 0 0 : 9

0 1 0 : -3

0 0 1 : 0

(x, y, z) = 

Answer 1

Row 1 is equivalent to:

1x + 0y +0 z = 9

Row 2 is equivalent to:

0x + 1y + 0z = -3

Row 3 is equivalent to:

0x+ 0y + 1z = 0

So the solution to the original system is:

(9, -3, 0)