Home
Class 12
MATHS
If A=[{:(1,2,0),(-2,-1,-2),(0,-1,1):}] f...

If `A=[{:(1,2,0),(-2,-1,-2),(0,-1,1):}]` find `A^(-1)`. Using `A^(-1)`, solve the system of linear equations x-2y=10, 2x-y-z=8, -2y+z=7`.

Text Solution

Verified by Experts

The correct Answer is:
`therefore x=0,y=-5 and z=-3`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Objective type Questions)|14 Videos
  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Fillers)|10 Videos
  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|17 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 5 (Section-D)|4 Videos
  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-D)|2 Videos

Similar Questions

Explore conceptually related problems

If A=[{:(2,-3,5),(3,2,-4),(1,1,-2):}] find A^(-1) . Using A^(-1) solve the system of equations 2x-3y+5z=11 3x+2y-4z=-5 x+y-2z=-3

If {:[( 2,-3,5),( 3,2,-4),( 1,1,-2) ]:} , find A^(-1) Using A^(-1) solve the system of equations 2x -3y +5z =11 3x+2y -4z=-5 x+ y -2z =-3

Solve the system of equations {:(2x+5y=1),(3x+2y=7):},

The system of equations x+2y-4z=3,2x-3y+2z=5 and x -12y +16z =1 has

Solve the system of equations {(|x-1|+|y-2|=1),(y=2-|x-1|):}

Given A=[{:(2,2,-4),(-4,2,-4),(2,-1,5):}] and B=[{:(1,-1,0),(2,3,4),(0,1,2):}] . Find A.B and use this to solve the system of equations y+2z=7,x-y=3,2x+3y+4z=17

Solve the following system of linear equations 2/x+3/y+(10)/z=4 4/x-6/y+5/z=1 6/x+9/y-(20)/z=2

Solve system of linear equations , using matrix method if exists x-2y=10 2x+y+3z=8 -2y+z=7

Solve following system using matrix x-y+2z =1 , 2y -3z =1, 3x -2y +4z =2

Solve following system using matrix x-y+2z =1 , 2y -3z =1, 3x -2y +4z =2