Home
Class 12
MATHS
If A is symmetric, prove that adj A is a...

If A is symmetric, prove that adj A is also symmetric.

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    FULL MARKS|Exercise EXAMPLE QUESTIONS SOLVED|10 Videos
  • APPLICATIONS OF MATRICES AND DETERMINANTS

    FULL MARKS|Exercise EXERCISE -1.1|15 Videos
  • APPLICATIONS OF INTEGRATION

    FULL MARKS|Exercise ADDITIONAL PROBLEMS|35 Videos
  • APPLICATIONS OF VECTOR ALGEBRA

    FULL MARKS|Exercise Additional Questions Solved|59 Videos

Similar Questions

Explore conceptually related problems

If A is symmetric then

If A is a symmetric matrix and B is a skew-symmetric matrix such that A + B = [{:(2,3),(5,-1):}] , then AB is equal to

If A and B are symmetric matrices, prove that AB-BA is a skew symmetric matrix.

If A and B are symmetric matrices of same order, prove that AB + BA is a symmetric matrix.

If A and B are symmetric matrices of same order, prove that AB+BA is a symmetric matrix.

If A and B are symmetric matrices of same order, prove that AB-BA is a skew -symmetric matrix.

If A is a symmetric matrix, B is a skew-symmetric matrix, A+B is nonsingular and C=(A+B)^(-1) (A-B) , then prove that (i) C^(T) (A+B) C=A+B (ii) C^(T) (A-B)C=A-B (iii) C^(T)AC=A

What is a symmetrical flower?

If matrix A=[(0,1,-1),(4,-3,4),(3,-3,4)]=B+C , where B is symmetric matrix and C is skew-symmetric matrix, then find matrices B and C.

FULL MARKS-APPLICATIONS OF MATRICES AND DETERMINANTS-ADDITIONAL QUESTIONS SOLVED
  1. If A is symmetric, prove that adj A is also symmetric.

    Text Solution

    |

  2. Using elementary transformations find the inverse of the following mat...

    Text Solution

    |

  3. Using elementary transformations find the inverse of the matrix [{:(1,...

    Text Solution

    |

  4. Using elementary transformation find the inverse of the matrix [{:(3,-...

    Text Solution

    |

  5. Using elementary transformations find the inverse of the matrix [{:(1,...

    Text Solution

    |

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

    Text Solution

    |

  7. Given A=[{:(1,-1,2),(3,0,-2),(1,0,3):}] verify that A(adjA)=(adjA)A=|A...

    Text Solution

    |

  8. If A = [{:(3,2),(7,5):}] "and B" = [{:(-1,-3),(5,2):}] "verify that" (...

    Text Solution

    |

  9. If A={:((3,1),(-1,2)):} show that A^(2)-5A+7I(2)=0

    Text Solution

    |

  10. If A=[{:(2,-1,1),(-1,2,-1),(1,-1,2):}] verify that A^(3)-6A^(2)+9A-4I=...

    Text Solution

    |

  11. Find the inverse of the matrices [{:(1,-1,2),(0,2,-3),(3,-2,4):}]

    Text Solution

    |

  12. Find the rank of the following matrices. [{:(1,-1,1),(3,-2,3),(2,-3,4)...

    Text Solution

    |

  13. Find the rank of the following matrices. [{:(0,1,2,1),(2,-3,0,-1),(1,1...

    Text Solution

    |

  14. Find the rank of the matrix [[1,-2,3,4],[-2,4,-1,-3],[-1,2,7,6]]

    Text Solution

    |

  15. Using elementary transformations find the inverse of the following mat...

    Text Solution

    |

  16. Using elementary transformations find the inverse of the following mat...

    Text Solution

    |

  17. Using elementary transformations find the inverse of the following mat...

    Text Solution

    |

  18. Using elementary transformations find the inverse of the following mat...

    Text Solution

    |

  19. Using elementary transformations, find the inverse of the following ma...

    Text Solution

    |

  20. Using elementary transformations, find the inverse of the following ma...

    Text Solution

    |

  21. Using elementary transformations, find the inverse of the following ma...

    Text Solution

    |