Home
Class 12
MATHS
If A matrix is symmetric as well as skew...

If A matrix is symmetric as well as skew symmetric, then
a. A is diagonal matrix
b. A null matrix
c. A unit matrix
d. none of these

A

A is diagonal matrix

B

A null matrix

C

A unit matrix

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    OMEGA PUBLICATION|Exercise IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE |14 Videos
  • LINEAR PROGRAMMING

    OMEGA PUBLICATION|Exercise Question (Miscellaneous Exercise) |8 Videos
  • PROBABILITY

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|38 Videos

Similar Questions

Explore conceptually related problems

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

If the matrix A is both symmetric and skew symmetric, then :

If a matrix is both symmetric and skew-symmetric matrix, then

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

Show that a matrix, which is both symmetric and skew symmetric, is a zero matrix.

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

If A is a square matrix, then A is skew symmetric iff

OMEGA PUBLICATION-MATRICES -MULTIPLE CHOICE QUESTIONS
  1. If A is square matrix such that A^(2)=A, then (I+A)^(3)-7A is equal to...

    Text Solution

    |

  2. If A = [ a(ij)]("mxn") is a rectangular matrix, then

    Text Solution

    |

  3. If A,B symmetric matrices of the same order. Then AB-BA is a a. Ske...

    Text Solution

    |

  4. The number of all possible matrices of order 3xx3 with each entry 0 o...

    Text Solution

    |

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

    Text Solution

    |

  6. Matrices A and B will be inverse of each other only if a. AB = BA ...

    Text Solution

    |

  7. Assume X, Y, Z, W and P are matrices of order 2xxn, 3xxk, 2xxp, nxx3 ...

    Text Solution

    |

  8. Assume X, Y, Z, W and P are matrices of order 2xxn, 3xxk, 2xxp, nxx3 ...

    Text Solution

    |

  9. A=[a(ij)](mxxn) is a square matrix, if a. m < n b. m > n c. m ...

    Text Solution

    |

  10. Which of the given values of x and y make the following pair of matri...

    Text Solution

    |

  11. If A=[(cosalpha,-sinalpha),(sinalpha,cosalpha)], then A+A'=1, if the v...

    Text Solution

    |

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

    Text Solution

    |

  13. If A=[(alpha,beta),(gamma,-alpha)] is such that A^(2)=I, then a. 1 ...

    Text Solution

    |

  14. If the matrix A is both symmetric and skew symmetric, then :

    Text Solution

    |

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

    Text Solution

    |

  16. A=[a(ij)](mxxn) is a square matrix, if a. m < n b. m > n c. m ...

    Text Solution

    |

  17. If A,B symmetric matrices of the same order. Then AB-BA is a a. Ske...

    Text Solution

    |

  18. The number of all possible matrices of order 3xx3 with each entry 0 o...

    Text Solution

    |

  19. If A matrix is symmetric as well as skew symmetric, then a. A is dia...

    Text Solution

    |

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

    Text Solution

    |