Solve each of the following systems of equations using matrix method.
X + 2y + z = 4;
- x + y + z = 0;
x - 3y + z = 4.
To find: - x , y , z
Given set of lines are : -
x + 2y + z = 4
- x + y + z = 0
x - 3y + z = 4
Converting the following equations in matrix form,
AX = B
R2 + R1
R3 – R1
Again converting into equations we get
X + 2y + z = 4
3y + 2z = 4
- 5y = 0
Y = 0
0 + 2z = 4
Z = 2
X + 0 + 2 = 4
X = 2
∴ x = 2 , y = 0 , z = 2
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