Question

Use Gauss-Jordan method to solve the system
10x + y + z = 12
x+10y + z = 12
X+' +10z = 12​

Answer 1

Answer:

10x+y+z=12⋯(1)

2x+10y+z=13⋯(2)

2x+2y+10z=14⋯(3)

(1)−(2)

8x−9y=−1

8x=9y−1

x=

8

9y−1

⋯(4)

(2)−(3)

8y−9z=−1

9z=1+8y

z=

9

1+8y

⋯(5)

⟹10(

8

9y−1

)+y+(

9

1+8y

)=12

405y−45+36y+4+32y=432

473y=473

y=1

⟹x=

8

9(1)−1

=1

⟹z=

9

1+8(1)

=1

was it is helpful

hope you will understand