Home
Class 12
MATHS
Obtain the inverse of the following matr...

Obtain the inverse of the following matrix using elementary operations :
`A=[(3,0,-1),(2,3,0),(0,4,1)]`.

Text Solution

Verified by Experts

The correct Answer is:
`[(3,-4,3),(-2,3,-2),(8,-12,9)]`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    OMEGA PUBLICATION|Exercise IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE |14 Videos

  • MATRICES

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS |28 Videos

  • LINEAR PROGRAMMING

    OMEGA PUBLICATION|Exercise Question (Miscellaneous Exercise) |8 Videos

  • PROBABILITY

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|38 Videos

Similar Questions

Explore conceptually related problems

Find the inverse of the following, if it exists, using elementary row (column) transformations: {:[(1,3,-2),(-3,0,-1),(2,1,0)]

Find the inverse of the following, if it exists, using elementary row (column) transformations: {:[(1,2,-2,),(-1, 3, 0),(0,-2,1)]

Using the elementary row operations, find the inverse of each of the following matrices: [(2,0,-1),(5,1,0),(0,1,3)]

Using the elementary row operations, find the inverse of each of the following matrices: [(1,2,-2),(-1,3,0),(0,-2,1)]

Using the elementary row operations, find the inverse of each of the following matrices: [(1,2,-2),(-1,3,0),(0,-2,1)]

Using elemenatry transformations, find the inverse of the following matrices [(2,0,-1),(5,1,0),(0,1,3)]

Using the elementary row operations, find the inverse of each of the following matrices: [(2,-1,3),(-5,3,1),(-3,2,3)]

OMEGA PUBLICATION-MATRICES -MULTIPLE CHOICE QUESTIONS
  1. Obtain the inverse of the following matrix using elementary operations...

    Text Solution

    |

  2. Assume X, Y, Z, W and P are matrices of order 2xxn, 3xxk, 2xxp, nxx3 ...

    Text Solution

    |

  3. Assume X, Y, Z, W and P are matrices of order 2xxn, 3xxk, 2xxp, nxx3 ...

    Text Solution

    |

  4. A=[a(ij)](mxxn) is a square matrix, if a. m < n b. m > n c. m ...

    Text Solution

    |

  5. Which of the given values of x and y make the following pair of matric...

    Text Solution

    |

  6. If A=[(cosalpha,-sinalpha),(sinalpha,cosalpha)], then A+A'=1, if the v...

    Text Solution

    |

  7. Matrices A and B will be inverse of each other only if a. AB = BA ...

    Text Solution

    |

  8. If A=[(alpha,beta),(gamma,-alpha)] is such that A^(2)=I, then a. 1 ...

    Text Solution

    |

  9. If the matrix A is both symmetric and skew symmetric, then :

    Text Solution

    |

  10. If A is square matrix such that A^(2)=A, then (I+A)^(3)-7A is equal to...

    Text Solution

    |

  11. If A = [ a(ij)]("mxn") is a rectangular matrix, then

    Text Solution

    |

  12. If A,B symmetric matrices of the same order. Then AB-BA is a a. Ske...

    Text Solution

    |

  13. The number of all possible matrices of order 3xx3 with each entry 0 o...

    Text Solution

    |

  14. If A matrix is symmetric as well as skew symmetric, then a. A is dia...

    Text Solution

    |

  15. Matrices A and B will be inverse of each other only if a. AB = BA ...

    Text Solution

    |

  16. Assume X, Y, Z, W and P are matrices of order 2xxn, 3xxk, 2xxp, nxx3 ...

    Text Solution

    |

  17. Assume X, Y, Z, W and P are matrices of order 2xxn, 3xxk, 2xxp, nxx3 ...

    Text Solution

    |

  18. A=[a(ij)](mxxn) is a square matrix, if a. m < n b. m > n c. m ...

    Text Solution

    |

  19. Which of the given values of x and y make the following pair of matri...

    Text Solution

    |

  20. If A=[(cosalpha,-sinalpha),(sinalpha,cosalpha)], then A+A'=1, if the v...

    Text Solution

    |

  21. Matrices A and B will be inverse of each other only if

    Text Solution

    |