Home
Class 12
MATHS
If A= [{:(-5,1,3),(7,1,-5),(1,-1,1):}]"a...

If A=` [{:(-5,1,3),(7,1,-5),(1,-1,1):}]"and B"=[{:(1,1,2),(3,2,1),(2,1,3):}]`, find the products AB and BA and hence solve the system of equations x+y+2z= 1,3x+2y+z=7, 2x+y+3z=2.

Text Solution

Verified by Experts

The correct Answer is:
`x=2, y=1, z=-1`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 1.4|8 Videos
  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 1.5|5 Videos
  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 1.2|11 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

Solve the system of equation 2x+ 5y =1 3x +2y =7

If A=[[-3,-5,1],[-3,3,-3],[3,1,-5]] and B=[[1,2,-1],[2,-1,1],[1,1,2]] find the products AB and BA and hence solve the system of equation. x+2y-z=6 2x-y+z=5 x+y+2z=7

The system of equations x +2y+3z=1, x-y+4z=0, 2x+y+7z=1 has

Examine the consistency of the system of equations 3x-y -2z =2 2y - z =-1 3x- 5y =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

The number of solutions of the system of equations 2x+y-z=7,x-3y+2z=1, x+3y-3z=5 is

Examine the consistency of the system of equations 5x-y+4z =5 2x+ 3y + 5z =2 5x-2y + 6z =-1

Using matrix method, solve the following system of equations: x+2y+z=7,x+3z=11,2x-3y=1

If X= [(2,3,0),(1,-1,5)] ,Y= [(-1,-2,3),(-1,0,2)] ,Z= [(0,4,-1),(5,6,-5)] find 3X+4Y-Z