Home
Class 12
MATHS
If A is a skew-symmetric matrix and n is...

If `A` is a skew-symmetric matrix and `n` is odd positive integer, then `A^n` is a skew-symmetric matrix a symmetric matrix a diagonal matrix none of these

A

a skew-symmetric matrix

B

a symmetric matrix

C

a diagonal matrix

D

nono of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 3|16 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 4|9 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 1|9 Videos

  • MATHEMATICAL INDUCTION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

Similar Questions

Explore conceptually related problems

If A^(T) is a skew-symmetric matrix and n is a positive integer, then A^(n) is

If A is a square matrix,then AA is a (a) skew- symmetric matrix (b) symmetric matrix (c) diagonal matrix (d) none of these

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

If A is a skew-symmetric matrix of odd order n, then |A|=0

If A is skew-symmetric matrix, then trace of A is

In a skew-symmetric matrix, every principal diagonal element is

The inverse of a skew symmetric matrix is

If A is a skew-symmetric matrix of odd order n, then |A|=O .

If A is a skew-symmetric matrix of order 3, then |A|=

The inverse of a skew symmetric matrix of odd order is 1)a symmetric matrix 2)a skew symmetric matrix 3)a diagonal matrix 4)does not exist

ARIHANT MATHS-MATRICES -Exercise For Session 2
  1. If {:A=[(4,x+2),(2x-3,x+1)]:} is symmetric, then x =

    Text Solution

    |

  2. If A and B are symmetric matrices, then ABA is

    Text Solution

    |

  3. if A and B are symmetric matrices of the same order and P=AB+BA and Q...

    Text Solution

    |

  4. If A is a skew-symmetric matrix and n is odd positive integer, then A^...

    Text Solution

    |

  5. If A is symmetric as well as skew-symmetric matrix, then A is

    Text Solution

    |

  6. If A is square matrix order 3, then |(A - A')^2015| is

    Text Solution

    |

  7. the maximum number of different elements requried to from a symmetric...

    Text Solution

    |

  8. A and B are square matrices of order 3xx3 , A is an orthogonal matrix ...

    Text Solution

    |

  9. the matrix A=[(i,1-2i),(-1-2i,0)], where I = sqrt-1, is

    Text Solution

    |

  10. if A and B are square matrices of same order such that A = and B = B,...

    Text Solution

    |

  11. if matrix A=(1)/sqrt2[(1,i),(-i,a)], i=sqrt-1 is unitary matrix, a is ...

    Text Solution

    |

  12. If A is a 3x3 matrix and det (3A) = k {det(A)} , k is equal to

    Text Solution

    |

  13. If A and B are square matrices of order 3 such that absA=-1,absB=3," t...

    Text Solution

    |

  14. if A is a square matrix such that A^(2)=A, then det (A) is equal to

    Text Solution

    |

  15. If I is a unit matrix of order 10, then the determinant of I is equal ...

    Text Solution

    |

  16. If A(i)= [(2^(-i),3^(-i)),(3^(-i),2^(-i))],then sum(i=1)^(oo) det (A(i...

    Text Solution

    |

  17. The number of values of x for which the matrix A=[(3-x,2,2),(2,4-x,1),...

    Text Solution

    |

  18. For how many values of 'x' in the closed interval [-4,-1] is the matri...

    Text Solution

    |

  19. The value of x for which the matrix |(-x,x,2),(2,x,-x),(x,-2,-x)| will...

    Text Solution

    |