# Solve each of the following systems of equations using matrix method.x - y – 2z = 3;x + y = 1;x + z = - 6.

To find: - x , y , z

Given set of lines are : -

x - y - 2z = 3

x + y = 1

x + z = - 6

Converting the following equations in matrix form,

AX = B

R2 – R1

R3 – R1

2R3 - R2

Again converting into equations we get

X + y - 2z = 3

2y + 2z = - 2

4z = - 16

Z = - 4

2y – 8 = - 2

2y = - 2 + 8

2y = 6

Y = 3

X - 3 + 8 = 3

X = - 2

x = - 2 , y = 3 , z = - 4

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Functional Equations - JEE with ease48 mins
Immune System Disorders60 mins
Female reproductive system58 mins
Female reproductive system46 mins
Rotational Kinetic Energy43 mins
Interactive Quiz: Important Questions Based on Moment of Inertia35 mins
Interactive Quiz | Questions based on torque & angular momentum44 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