Q. 215.0( 1 Vote )

# Solve each of the following systems of equations using matrix method.2x - 3y + 5z = 11;3x + 2y - 4z = - 5;x + y – 2z = - 3.

To find: - x , y , z

Given set of lines are : -

2x - 3y + 5z = 11;

3x + 2y - 4z = - 5;

x + y – 2z = - 3.

Converting the following equations in matrix form,

AX = B 2R2 – 3R1

2R3 –R1 13R3 - 5R2 Again converting into equations we get

2x – 3y + 5z = 11

13y - 23 z = - 43

- 2z = - 6

Z = 3

13y - 23×3 = - 43

13y = - 43 + 69

13y = 26

Y = 2

2x – 3×2 + 5×3 = 11

2x = 11 + 6 - 15

X = 1 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  Female reproductive system58 mins  Immune System Disorders60 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 