Home
Class 12
MATHS
If A and B are symmetric matrices of the...

If A and B are symmetric matrices of the same order. Show that A-B is also symmetric.

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    PRADEEP PUBLICATION|Exercise EXERCISE|335 Videos

  • LINEAR PROGRAMMING

    PRADEEP PUBLICATION|Exercise EXERCISE|135 Videos

  • MODEL PAPER (1)

    PRADEEP PUBLICATION|Exercise EXERCISE|35 Videos

Similar Questions

Explore conceptually related problems

If A and B are symmetric matrices of the same order, then

If A and B are skew-symmetric matrices of the same order. Show that A-B is also skew-symmetric.

If A and B are symmetric matrices of the same order, then show that AB is symmetric if and only if A and B commute, that is AB = BA.

Let A and B be symmetric matrices of the same order. Then show that: A +B is a symmetric matrix.

Let A and B be symmetric matrices of the same order. Then show that: AB+BA is a symmetric matrix.

Let A and B be symmetric matrices of the same order. Then show that: AB-BA is skew-symmetric matrix.

Fill in the blanks: If A and B are symmetric matrices of the same order than AB - BA is a ………… matrix.

Fill in the blanks: If A and B are symmetric matrices of the same order than AB + BA is a ……… matrix.

If A and B are symmetric matrices of same order then AB - BA is a :

PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. show that the matrix A=[(2,-2,-4),(-1,3,4),(1,-2,-3)] is idempotent.

    Text Solution

    |

  2. Express each of the matrices [(6,3,-2),(5,7,9),(4,7,1)] as the sum of ...

    Text Solution

    |

  3. If A and B are symmetric matrices of the same order. Show that A-B is ...

    Text Solution

    |

  4. If A and B are skew-symmetric matrices of the same order. Show that A-...

    Text Solution

    |

  5. If A is any square matrix, show that 1/2(A + A') is symmetric and 1/2(...

    Text Solution

    |

  6. If A and B are square matrices of the same order and A is symmetric, t...

    Text Solution

    |

  7. If A is a symmetric matrix, prove that A^n is also symmetric for all p...

    Text Solution

    |

  8. Verify that [(2,3),(5,7)] is inverse of the matrix [(-7,3),(5,-2)]

    Text Solution

    |

  9. Verify that [(cos theta, sin theta),(-sin theta, cos theta)] and [(cos...

    Text Solution

    |

  10. Verify that the matrix [(7,-3,-3),(-1,1,0),(-1,0,1)] is the inverse of...

    Text Solution

    |

  11. If A = [(3,1),(-1,2)] then the matrix A^2 - 5A + 8I is

    Text Solution

    |

  12. If Matrix A= [[5,3],[-1,-2]], then show that A^2-3A-7I=0 and hence fin...

    Text Solution

    |

  13. Using the elementary row operations, find the inverse of each of the f...

    Text Solution

    |

  14. Using the elementary row operations, find the inverse of each of the f...

    Text Solution

    |

  15. Using the elementary row operations, find the inverse of each of the f...

    Text Solution

    |

  16. Using the elementary row operations, find the inverse of each of the f...

    Text Solution

    |

  17. Using the elementary row operations, find the inverse of each of the f...

    Text Solution

    |

  18. Using the elementary row operations, find the inverse of each of the f...

    Text Solution

    |

  19. Using the elementary row operations, find the inverse of each of the f...

    Text Solution

    |

  20. Using the elementary row operations, find the inverse of each of the f...

    Text Solution

    |