# Solve each of the following systems of equations using matrix method.2x + y - z = 1;x – y + z = 2;3x + y – 2z = - 1.

To find: - x , y , z

Given set of lines are : -

2x + y - z = 1

x - y + z = 2

3x + y - 2z = - 1

Converting the following equations in matrix form,

AX = B 2R2 – R1

2R3 – 3R1 3R3 - R2 Again converting into equations we get

2x + y – z = 1

- 3y + 3z = 3

- 6z = - 18

Z = 3

- 3y + 3×3 = 3

- 3y = 3 - 9

- 3y = - 6

Y = 2

2x + 2 - 3 = 1

2x = 1 + 1

X = 1

x = 1 , y = 2 , z = 3

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Range of Quadratic/quadratic & linear/Linear functions45 mins  Functional Equations - JEE with ease48 mins  Immune System Disorders60 mins  Female reproductive system58 mins  Female reproductive system46 mins  Rotational Kinetic Energy43 mins  Interactive Quiz | Questions based on torque & angular momentum44 mins  Interactive Quiz: Important Questions Based on Moment of Inertia35 mins  Female Reproductive System | Interactive Quiz39 mins  Pure Rolling49 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 