Question

29. The augmented matrix for a linear system in variables x, y, and z are given below. The augmented matrix is in

reduced row-echelon form. Give the solution of the system.
1
0
LO
0 0
1 0
0 1
1
1
o]
(x, y, z)= (------...-)
X Х

Answer 1

(x,y,z) = (1,1,0)

Step-by-step explanation:

|1 0 0 | 1 | r1 - r3 -> r1

|0 1 0 | 1 | r2 - r3 -> r1

|0 0 1 | 0 |

`1 - 0 = 1 \\ 0 - 0 = 0 \\ 0 - 1 = - 1 \\ 1 - 0 = 1`

first row⬆️

second row:

`0 - 0 = 0 \\ 1 - 0 = 1 \\ 0 - 1 = - 1 \\ 1 - 0 = 1`

third row rest the same