Home
Class 12
MATHS
Using elementary row transformation , fi...

Using elementary row transformation , find the inverse of the matrix `A=[{:(3,-1),(-4,2):}]`.If `A^(-1)=(1)/(2)[{:(2,a),(b,3):}]` , then find the values of a and b .

Text Solution

Verified by Experts

The correct Answer is:
`A^(-1)=[{:(1,(1)/(2)),(2,(3)/(2)):}];a=1,b=4`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ARIHANT PUBLICATION|Exercise QUESTIONS FPR PRACTICE Part IV (Inverse of a Matrix by Elementary Operations ( Short Answer Type Questions ) |1 Videos

  • MATRICES

    ARIHANT PUBLICATION|Exercise ODISHA BUREAU .S TEXTBOOK SOLUTIONS (Exercise (a) )|102 Videos

  • MATRICES

    ARIHANT PUBLICATION|Exercise QUESTIONS FPR PRACTICE Part III (Transpose of a Matrix ,Symmetric and Skew -symmetric Matrices (Short Answer Type Questions)|8 Videos

  • LINEAR PROGRAMMING

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (Long Answer Type Questions 6 Marks)|18 Videos

  • PROBABILITY

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE(LONG ANSWER TYPE QUESTIONS)|17 Videos

Similar Questions

Explore conceptually related problems

Find the inverse of the matrix A=[{:(2,-3),(-4,7):}]

Using elementary column transformation , find the inverse of the matrix [{:(3,1),(5,2):}]

Using elementary column transformation find the inverse of the matrix [{:(2,1),(4,2):}]

Find the inverse of the matrix [{:(2,1),(4,2):}]

Using elementary transformation find the inverse of the matrix [[1,3],[2,7]] .

Using elementary row transformation , find inverse of matrix A=[{:(6,5),(5,4):}] .

Find the inverse of the matrix [{:(4,-2),(3,1):}]

Find the inverse of the matrix : [{:(6,-3),(2,1):}]

ARIHANT PUBLICATION-MATRICES -QUESTIONS FPR PRACTICE Part IV (Inverse of a Matrix by Elementary Operations (Very Short Answer Type Questions )
  1. Use the elementary row operation R(1) to R(1)-3R(2) in the matrix equa...

    Text Solution

    |

  2. Use the elementary row operation R(1) to R(1)-3R(2) in the matrix equa...

    Text Solution

    |

  3. Using elementary column transformation , find the inverse of the mat...

    Text Solution

    |

  4. Using elementary column transformation find the inverse of the matrix ...

    Text Solution

    |

  5. Using elementary row transformation , find the inverse of the matrix A...

    Text Solution

    |

  6. Find the inverse of the matrix : [{:(6,-3),(2,1):}]

    Text Solution

    |

  7. Find the inverse of the matrix [{:(4,-2),(3,1):}]

    Text Solution

    |

  8. Find the inverse of the matrix [{:(2,5),(1,3):}]

    Text Solution

    |

  9. Using elementary transformation , find the inverse of the following ma...

    Text Solution

    |

  10. Using elementary transformation , find the inverse of the following ma...

    Text Solution

    |

  11. Using elementary transformation , find the inverse of the following ma...

    Text Solution

    |

  12. Using elementary transformation , find the inverse of the following ma...

    Text Solution

    |

  13. Using elementary transformation , find the inverse of the following ma...

    Text Solution

    |

  14. Using elementary transformation , find the inverse of the following ma...

    Text Solution

    |

  15. Using elementary transformation , find the inverse of the following ma...

    Text Solution

    |

  16. Using elementary transformation, find the inverse of the following mat...

    Text Solution

    |