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

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

Text Solution

Verified by Experts

The correct Answer is:
Symmetrix matrix
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK (Type-III : (True or false questions))|34 Videos

  • MATRICES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS |6 Videos

  • MATRICES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK (Type-I : (Multiple choice questions))|50 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 skew symmetric matrix, then A^(2) is a symmetric 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 .

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 symmetric as well as skew-symmetric matrix, then A 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

If A is a skew symmetric matrix of order 3, then write the value of det A.

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 =[[2,3],[4,5]] ), prove that A-A' is a skew symmetric matrix where (A^tau) denotes the transpose of matrix A

Verify that : A - A' is a Skew - symmetric Matrix. When : A = {:[(2,5),(4,1)] . Where A, is the transpose of A.

Verify that : A - A' is a Skew - symmetric Matrix. When : A = {:[(6,2),(4,5)] . Where A, is the transpose of A.

ACCURATE PUBLICATION-MATRICES-QUESTIONS CARRYING 1 MARK (Type-II : (Fill in the blanks questions))
  1. If order of matrix A is 3 xx 3 and order of matrix B is 3 xx 5, then o...

    Text Solution

    |

  2. If A=[{:(cos alpha, -sin alpha),(sin alpha,cos alpha):}] then A+A'=I, ...

    Text Solution

    |

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

    Text Solution

    |

  4. Matrices A and B will be inverse of each other only if

    Text Solution

    |

  5. If A and B are two skew symmetric matrices of same order, then AB is s...

    Text Solution

    |

  6. If A and B are matrices of same order, then (3A-2 B) is equal to ……

    Text Solution

    |

  7. Addition of matrices is defined if order of the matrices is ……

    Text Solution

    |

  8. …….. Matrix is both symmetric and skew symmetric matrix .

    Text Solution

    |

  9. Sum of two skew symmetric matrices is always ……… matrix .

    Text Solution

    |

  10. The negative of a matrix is obtained by multiplying it by …….

    Text Solution

    |

  11. The product of any matrix by the scalar ……. Is the null matrix .

    Text Solution

    |

  12. A matrix which is not a square matrix is called a …. Matrix .

    Text Solution

    |

  13. Matrix multiplication is ……… over addition .

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. If A and B are square matrices of the same order, then (i) (AB)= ……....

    Text Solution

    |

  17. If A is skew symmetric , then kA is a …….

    Text Solution

    |

  18. If A and B are symmetric matrices, then (i) AB-BA is a ……… . (ii) ...

    Text Solution

    |

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

    Text Solution

    |

  20. If A and B are symmetric matrices of the same order, then show that AB...

    Text Solution

    |