Home
Class 12
MATHS
If A is skew symmetric matrix , then A^(...

If A is skew symmetric matrix , then `A^(2)` is a symmetric matrix .

Text Solution

Verified by Experts

The correct Answer is:
True
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    KUMAR PRAKASHAN|Exercise Practice Paper - 3 (Section - A )|4 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise Practice Paper - 3 (Section - B )|4 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Fillers)|14 Videos

  • LINEAR PROGRAMMING

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|25 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos

Similar Questions

Explore conceptually related problems

If A is symmetric matrix , then B'AB is …….

If a matrix A is a symmetric matrix then show that A^(n) is also a symmetric matrix . Where n in N .

For the matrix A=[{:(1,5),(6,7):}] ,verify that (i) (A+A) is a symmetric matrix. (ii) (A-A) is a skew symmetric matrix.

If A is skew -symmetric 3xx3 matrix , |A| =……..

If A,B are square matrices of same order and B is a skew -symmetric matrix , show that A'BA is skew symmetric.

Prove that if A is a square matrix then ,(i) (A+A') is a symmetric metrix. (ii) (A-A') is a skew symmetric matrix.

Let A and B are symmetric matrices of order 3. Statement -1 A (BA) and (AB) A are symmetric matrices. Statement-2 AB is symmetric matrix, if matrix multiplication of A with B is commutative.

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

If each of the three matrices of the same order are symmetric , then their sum is a symmetric matrix.

KUMAR PRAKASHAN-MATRICES -Solutions of NCERT Exemplar Problems (True /False)
  1. A matrix denotes a number .

    Text Solution

    |

  2. Matrices of any order can be added .

    Text Solution

    |

  3. Two matrices are equal if they have same number of rows and same numb...

    Text Solution

    |

  4. Matrices of different order can not be subtracted .

    Text Solution

    |

  5. Matrix addition is associative as well as commutative.

    Text Solution

    |

  6. Matrix multiplication is commutative .

    Text Solution

    |

  7. A square matrix where every element is unity is called an identity mat...

    Text Solution

    |

  8. If A and B are two square matirces of the same order , then A+B=B+A.

    Text Solution

    |

  9. If A and B are two matrices of the same order , then A-B=B-A.

    Text Solution

    |

  10. If matrix AB=O , then A=O or B=O or both A and B are null matrices .

    Text Solution

    |

  11. Transpose of a column matrix is a column matrix .

    Text Solution

    |

  12. If A and B are two square matrices of the same order , then AB=Ba.

    Text Solution

    |

  13. If each of the three matrices of the same order are symmetric , then t...

    Text Solution

    |

  14. If A and B are two matrices of the same order , then (AB) =A'B.

    Text Solution

    |

  15. If (AB)=B'A', where A and B are not square matrices , then number of r...

    Text Solution

    |

  16. If A , B and C are square matrices of same order, then AB=AC always i...

    Text Solution

    |

  17. A A' is always a symmetric matrix for any matrix A .

    Text Solution

    |

  18. If A=[{:(2,3,-1),(1,4,2):}]andB=[{:(2,3),(4,5),(2,1):}] , then AB and...

    Text Solution

    |

  19. If A is skew symmetric matrix , then A^(2) is a symmetric matrix .

    Text Solution

    |

  20. (AB)^(-1)=A^(-1)*B^(-1) , where A and B are invertible matrices satisf...

    Text Solution

    |