Q. 31

# 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

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 