Home
Class 12
MATHS
If A is skew symmetric matrix, then A^(2...

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

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS |6 Videos

  • MATRICES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 6 MARKS |4 Videos

  • MATRICES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK (Type-II : (Fill in the blanks questions))|32 Videos

  • LINEAR PROGRAMMING

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 6 MARKS |7 Videos

  • PROBABILITY

    ACCURATE PUBLICATION|Exercise SAMPLE QUESTION PAPER -I ( SOLVED ) ( SECTION -D )|6 Videos

Similar Questions

Explore conceptually related problems

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

If A is a symmetric matrix , then A^(3) is a …… matrix .

If A is a skew symmetric matrix, then show that A^n is symmetric if n is even and A^n is skew symmetric if n is odd, n in N .

Fill in the blanks: If A is a symmetric matrix then A^2 is a …. Matrix.

If A and B are symmetric matrices, then A B A is (a) symmetric matrix (b) skew-symmetric matrix (c) diagonal matrix (d) scalar matrix

If A is a square matrix then '(A-A') is a skew-symmetric matrix.

If A and B are two skew symmetric matrices of same order, then AB is symmetric matrix if ……..

Let A be a square symmetric matrix. Show that 1/2 (A+A') is a symmetric matrix.

If A = [(3,-4),(1,-1)] , show that (A - A^T) is a skew symmetric matrix, where A^T is the transpose of matrix A.

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

ACCURATE PUBLICATION-MATRICES-QUESTIONS CARRYING 1 MARK (Type-III : (True or false questions))
  1. Transpose of a column matrix is a column matrix .

    Text Solution

    |

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

    Text Solution

    |

  3. If each of the three matrices of the same order are symmetric then the...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. (AB)^(-1)=A^(-1)B^(-1), where A and B are invertible matrices satisfyi...

    Text Solution

    |

  11. The number of all possible matrices of order 3xx3 with each entry 0 or...

    Text Solution

    |

  12. If matrix A is of order 4 xx 3, then each row of matrix A contains ele...

    Text Solution

    |

  13. If A + B = C, where A and B are matrices of order 2 xx 3, then order o...

    Text Solution

    |

  14. The solution of matrix equation [{:(x,1):}][{:(1,0),(-2,0):}]=O is 5 .

    Text Solution

    |

  15. Choose the correct option in the question : If {:((1,2),(3,4)):}{:(...

    Text Solution

    |

  16. AB=AC implies B=C .

    Text Solution

    |

  17. If A is matrix of a order 2 xx 3 and B is a matrix of order 3 xx 2, t...

    Text Solution

    |

  18. If AB = C, where B and C are matrices of order 3 xx 5, then order of A...

    Text Solution

    |

  19. If A is square matrix such that A^2 = A,then (I+A)^3-7A is equal to:

    Text Solution

    |

  20. The necessary and sufficient condition for a matrix A to be skew symme...

    Text Solution

    |