Home
Class 12
MATHS
If A,B are symmetric matrices of same or...

If A,B are symmetric matrices of same order then `AB-BA` is always a `…………….`

A

Skew-symmetric matrix

B

Symmetric matrix

C

Zero matrix

D

Identify matrix

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|40 Videos

  • PROBABILITY

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|318 Videos

Similar Questions

Explore conceptually related problems

If A, B are symmetric matrices of same order, then AB-BA is a A) skew symmetric matrix, B) Symmetric matrix, C) Zero matrix, D) Identity matrix

If A and B are symmetric matrices of the same order the X = AB + BA and Y = AB-BA, then XY^(T) is equal to a)XY b)YX c) -YX d)None of these

If A and B are symmetric matrices of the same order, then prove that (A+B) is also symmetric.

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

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

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

Suppose A and B are two symmetric matrices. If AB is symmetric, prove that AB =BA

If A and B are square matrices of order n, then A - lambda I and B - lambda I commute for every scalar lambda only if a)AB = BA b) AB + BA = 0 c)A = - B d)None of these

If A and B are square matrices of the same order such that A B=B A ,then prove by induction that AB^n=B^n A . Further, prove that (AB)^n = A^n B^n for all n in N .

If A and B are square matrices of the same order such that A^(2)= A, B^(2) = B, AB = BA = O , then a) (A - B)^(2) = B - A b) (A- B)^(2) = A - B c) (A + B)^(2) = A + B d)None of these

A N EXCEL PUBLICATION-MATRICES-QUESTION BANK
  1. Express the following matrices as the sum of a Symmetric and a Skew Sy...

    Text Solution

    |

  2. Express the following matrics as the sum of a symmetrics and a skew sy...

    Text Solution

    |

  3. If A,B are symmetric matrices of same order then AB-BA is always a ………...

    Text Solution

    |

  4. If A=[[cos alpha, -sin alpha],[sin alpha, cos alpha]], then A+A^T=I if...

    Text Solution

    |

  5. Find P^(-1), if it exists, given P = [(10,-2),(-5,1)]

    Text Solution

    |

  6. Using elementry transformation, find the inverse of the matrices. Co...

    Text Solution

    |

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

    Text Solution

    |

  8. Using elementry transformation, find the inverse of the matrices. A=...

    Text Solution

    |

  9. Find the inverse of the following using elementary transformations. A=...

    Text Solution

    |

  10. Find the inverse of the following using elementary transformations. A=...

    Text Solution

    |

  11. Find the inverse of the following using elementary transformations. A=...

    Text Solution

    |

  12. Find the inverse of the following using elementary transformations. A=...

    Text Solution

    |

  13. Using elementry transformation, find the inverse of the matrices. A ...

    Text Solution

    |

  14. Using elementry transformation, find the inverse of the matrices. A ...

    Text Solution

    |

  15. Using elementry transformation, find the inverse of the matrices. A ...

    Text Solution

    |

  16. Using elementry transformation, find the inverse of the matrices. A ...

    Text Solution

    |

  17. Using elementry transformation, find the inverse of the matrices. A ...

    Text Solution

    |

  18. Given P=[[2,-3],[-1,2]] . Find the inverse of P by elementary row ope...

    Text Solution

    |

  19. Using elementry transformation, find the inverse of the matrices. A ...

    Text Solution

    |

  20. Find the inverse of the following A=[[2,1,3],[4,-1,0],[-7,2,1]]

    Text Solution

    |