Solve each of the following systems of equations using matrix method.
x + y + z = 6;
x + 2z = 7;
3x + y + z = 12.
To find: - x , y , z
Given set of lines are : -
x + y + z = 6;
x + 2z = 7;
3x + y + z = 12
Converting following equations in matrix form,
AX = B
R2 – R1
R3 – 3R1
R3 + 2R2
Again converting into equations we get
X + y + z = 6
- y + z = 1
- 4 y = - 4
Y = 1
- 1 + z = 1
Z = 2
X + 1 + 2 = 6
X = 6 - 3
X = 3
∴