Home
Class 12
MATHS
If A is square matrix, A+A^(T) is symmet...

If A is square matrix, `A+A^(T)` is symmetric matrix, then `A-A^(T)`=

A

zero matrix

B

unit matrix

C

symmetric matrix

D

skew-symmetric matric

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NIKITA PUBLICATION|Exercise MCQs|101 Videos

  • MHT-CET 2017

    NIKITA PUBLICATION|Exercise MCQ|50 Videos

Similar Questions

Explore conceptually related problems

If A is a square matrix, then A is symmetric, if

If A is a square matrix, then A+A^(T) is

A is symmetric matrix if A^T =

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

If A is any square matrix,then A+A^(T) is skew symmetric

A square matrix A is said to be symmetric matrix if

A square matrix A is said to be symmetric matrix if

For any square matrix A,A A^(T) is a

A square matrix A is said skew - symmetric matrix if

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

NIKITA PUBLICATION-MATRICES-MULTIPLE CHOICE QUESTIONS
  1. Which of the following is not true?

    Text Solution

    |

  2. Which one of the following is correct?

    Text Solution

    |

  3. If A is square matrix, A+A^(T) is symmetric matrix, then A-A^(T)=

    Text Solution

    |

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

    Text Solution

    |

  5. If I is unit matrix of order n, then 3I will be

    Text Solution

    |

  6. If A is a square matrix of order n then |kA|=

    Text Solution

    |

  7. If A and B are square matrices of same order, then

    Text Solution

    |

  8. If two matrices A and B are of order ptimesq and r timess respectively...

    Text Solution

    |

  9. Matrix A is of order mtimesn, matrix B is of order ptimesq such that A...

    Text Solution

    |

  10. If A and B are two matrices such that A+B and AB are both defined, the...

    Text Solution

    |

  11. If A is a mtimesn matrix and B is a matrix such that both AB and BA ar...

    Text Solution

    |

  12. Which one of the following is not true?

    Text Solution

    |

  13. Which is true about matrix multiplication?

    Text Solution

    |

  14. The matrix product AB=0, then

    Text Solution

    |

  15. Assuming that the sums and products given below are defined, which of ...

    Text Solution

    |

  16. If A, B are square matrices of order 3, A is non-singular and AB=0, th...

    Text Solution

    |

  17. If A andB are square matrices of order 2, then (A+B)^(2)=

    Text Solution

    |

  18. If A and B are square matrices of order ntimesn, then (A-B)^(2)=

    Text Solution

    |

  19. If A, B are two matrices and (A+B)(A-B)=A^(2)-B^(2), then

    Text Solution

    |

  20. Which of the following is incorrect?

    Text Solution

    |