Home
Class 12
MATHS
Test for consistency and if possible sol...

Test for consistency and if possible solve the following system of equations by rank method.
x-y+2z=2,2x+y+4z=7,4x-y+z=4

Text Solution

Verified by Experts

The correct Answer is:
x = 1, y = 1, z = 1
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 1.7|4 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 1.8|25 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 1.5|5 Videos

  • APPLICATIONS OF INTEGRATION

    PREMIERS PUBLISHERS|Exercise Answer the following questions.|18 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Answer the following questions)|21 Videos

Similar Questions

Explore conceptually related problems

Test for consistency and if possible solve the following system of equations by rank method. 2x-y+z=2,6x-3y+3z=6,4x-2y+2z=4.

Test for consistency and if possible solve the following system of equations by rank method. 3x+y+z=2,x-3y+2z=1, 7x-y+4z=5.

Test for consistency and if possible solve the following system of equations by rank method. 2x+2y+z=5,x-y+z=1,3x+y+2z=4

Solve the following system of equations by matrix method. 3x-2y+3z=8 2x+ y-z=1 4x-3y +2z =4

Solve the following systems of linear equations by Gaussian elimination method. 2x-2y+3z=2,x+2y-z=3,3x-y+2z=1.