Home
Class 12
MATHS
If A= {:((3a,2b),(-a,b)):}and B = {:((-a...

If `A= {:((3a,2b),(-a,b)):}and B = {:((-a,b),(2a,2b)):}`, then find a matrix X such that XA = B.

Text Solution

Verified by Experts

`1/6{:((4,4,2),(11,8,-5),(10,10,2)):}`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|12 Videos
  • MATRICES

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|12 Videos
  • MATHEMATICAL LOGIC

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS 2 MARKS EACH|10 Videos
  • MODEL QUESTION PAPER FOR PRACTICE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise SECTION-D (Atempt any five of the following)|8 Videos

Similar Questions

Explore conceptually related problems

If A=[{:(4,2),(1,3):}]" and "B=[{:(-2,1),(3,2):}] , find a matrix X such that 3A-2B+X=O.

If A=[{:(2,-3),(4," "5):}]" and "B=[{:(-1,2),(0,3):}] , find a matrix X such that A+2B+X=O.

if A[{:(2,-3),(4,-1):}]and B=[{:(3,0),(-1,2):}], then find A matrix C such that 2A-B+3c is a unit matrix.

If A=[(1,0),(3,-1),(-5,2)] and B=[(1,-2),(-2,2),(1,1)] , then find the matrix 'X' such that 3A + X = 5B.

If A = [(2,0),(0,1)] and B = [(1),(2)] then find the matrix X such that A^(-1) X = B

If A = [(1,0,1),(0,2,3),(1,2,1)]and B = [(1,2,3),(1,1,5),(2,4,7)] , then find the matrix X such that XA = B

If A=[{:(1,-3,2),(2," "0,2):}]" and "B=[{:(2,-1,-1),(1," "0,-1):}] , find a matrix C such that (A+B+C) is a zero matrix.

If (a+b,3a-2b)=(-9,2), then find a and b.

If A=[{:(1,-5),(-3," "2),(4,-2):}]" and "B=[{:(3," "1),(2,-1),(-2," "3):}] , find the matrix C such that A+B+C is a zero matrix.

NAVNEET PUBLICATION - MAHARASHTRA BOARD-MATRICES-Examples for Practice
  1. Find the inverses of the following matrices (if they exist) : (1) {:...

    Text Solution

    |

  2. Find the matrix X such that {:((1,2,3),(2,3,2),(1,2,2)):} X = {:((2,2...

    Text Solution

    |

  3. If A= {:((3a,2b),(-a,b)):}and B = {:((-a,b),(2a,2b)):}, then find a ma...

    Text Solution

    |

  4. Find the inverse of each of the following matrices : {:((1,5,2),(0,-1...

    Text Solution

    |

  5. Find the inverse of the matrix {:((1,0,1),(0,2,3),(1,2,1)):} by using...

    Text Solution

    |

  6. Find the adjoints of the following matrices : (1) {:((1,3),(-2,4))...

    Text Solution

    |

  7. Find the inverses of the following matrices by adjoint method : (1) ...

    Text Solution

    |

  8. Find the inverse of each of the following matrices, by using adjoint m...

    Text Solution

    |

  9. If A = {:((1,-1,2),(3,0,-2),(1,0,3)):}, verify that A (adj A) = |A|* I...

    Text Solution

    |

  10. Solve the following equations by reduction method : 2x + 3y = 9, y...

    Text Solution

    |

  11. Solve the following equations by reduction method : x + y = 2, 3x +...

    Text Solution

    |

  12. Solve the following equations by reduction method : 2x - y = -2, 3x...

    Text Solution

    |

  13. Solve the following equations by inverse method : 2x + y = 5, 3x + 5...

    Text Solution

    |

  14. Solve the following equations by reduction method : x - y + z = 4, 2x ...

    Text Solution

    |

  15. The sum of three numbers is 9 . If we multiply third number by 3 and...

    Text Solution

    |

  16. The sum of three numbers is 6 . When second number is subtracted from ...

    Text Solution

    |

  17. The cost of 2 books, 6 notebooks and 3 pens is Rs. 40. The cost of 3 ...

    Text Solution

    |

  18. Solve the following equations by inverse method : 2x +5y = 1, 3x + ...

    Text Solution

    |

  19. Solve the following equations by inverse method : 2x + y = 5, 3x + 5...

    Text Solution

    |

  20. Using matrices, solve the following system of equations: x\ -\ y+z...

    Text Solution

    |