Question

Solve the following systems of equations using matrix method. 

x – y + z = 1; 

2x + y – z = 2; 

X – 2y – z = 4.

Answer 1

To find: - x , y , z 

Given set of lines are : - 

x – y + z = 1; 

2x + y – z = 2; 

X – 2y – z = 4 

Converting following equations in matrix form, 

AX = B

R₂ – 2R₁ 

R₃ – R₁

Again converting into equations we get 

X – y + z = 1 

3y - 3z = 0 

- 9z = 9 

Z = - 1 

Y = z 

Y = - 1 

X + 1 - 1 = 1 

X = 1