Solve each of the following systems of equations using matrix method.
x - 2y + z = 0;
y – z = 2;
2x – 3z = 10.
To find: - x , y , z
Given set of lines are : -
x - 2y + z = 0
y - z = 2
2x - 3z = 10
Converting the following equations in matrix form,
AX = B
R3 – 2R1
R3 - 4R2
Again converting into equations we get
X - 2y + z = 0
Y – z = 2
- z = 2
Z = - 2
Y + 2 = 2
Y = 0
X + 0 - 2 = 0
X = 2
∴ x = 2 , y = 0 , z = - 2