Home
Class 11
MATHS
Ifr A is a skew symmetrix matrix of orde...

Ifr A is a skew symmetrix matrix of order 3 and B is column matrix of order`3xx1` then`B^(T)AB` is

A

zero matrix of order 1

B

identity matrix of order 2

C

identity matrix of order 1

D

identity matrix of order 3

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (ANSWER THE FOLLOWING QUESTIONS)|18 Videos

  • INTRODUCTION TO PROBABILITY THEORY

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Choose the correct option for the following)|39 Videos

  • SETS,RELATIONS AND FUNCATIONS

    PREMIERS PUBLISHERS|Exercise II. Choose the correct option for the following. (M.C.Q)|35 Videos

Similar Questions

Explore conceptually related problems

If A is a skew symmetric matrix of order n and C is a column matrix of order nxx1 ,then C^(T)AC is

If C is skew-symmetric matrix of order na n dXi snxx1 column matrix, then X^T C X is a. singular b. non-singular c. invertible d. non invertible

If A is a square matrix of order n, then |adj A|=

If A and B are square matrix of same order then (A-B)^(T) is:

If A is a matrix of order mxxn, then rho (A) is

If A is a matrix of order 3, then det (kA) …………….

If A is a square matrix of order 3 then |kA| = ………………… .

PREMIERS PUBLISHERS-MATRICES AND DETERMINANTS-PROBLEMS FOR PRACTICE .(II CHOOSE THE CORRECT OPTION FROM THE FOLLOWING)
  1. Find the value of x for which A=[(e^(2x+1),e^(x-2)),(e^(2-x),e^(x-7))]...

    Text Solution

    |

  2. If A is (a(ij))(mxxn),B=(b(ij)(nxxp)),C=(c(ij)(pxxq))Then (ABC)^(T) wi...

    Text Solution

    |

  3. Ifr A is a skew symmetrix matrix of order 3 and B is column matrix of ...

    Text Solution

    |

  4. If A=[(2,4,-5),(3,1,-2),(0,2,-3)],find the coefficient of order 3:

    Text Solution

    |

  5. If A and B are square matrix of same order then (A-B)^(T) is:

    Text Solution

    |

  6. |((x+1/x)^(2),(x-1/x)^(2),1),((y+1/y)^(2),(y-1/y)^(2),1),((z+1/z)^(2),...

    Text Solution

    |

  7. Evaluate |(45,71,26),(35,-21,14),(77,50,40)|:

    Text Solution

    |

  8. if|(b+c,a-c,a-b),(b-c,c+a,b-a),(c-b,c-a,a+b)|=k(abc).Then k is:

    Text Solution

    |

  9. The area ofDelta with vertices (-2,-3),(3,2),and (-1,x).Then x is:

    Text Solution

    |

  10. Which of the followinf is not true about the matrix[(5,0,0),(0,0,0),(0...

    Text Solution

    |

  11. The matrix is [(4,3,1),(0,2,3),(0,0,-2)]is:

    Text Solution

    |

  12. If |(3x+4y,-3),(2,x+2y)|=|(7,-3),(2,3)|then x and y are

    Text Solution

    |

  13. The value of determinent |(25,20,45),(-10,10,0),(2,3,5)|is

    Text Solution

    |

  14. If A=(a(ij))(2xx3),B=(b(ij))(2xx3)then the order of AB will be

    Text Solution

    |

  15. If A=(a(ij))(2xx2).Where a(ij) is given by (i-2j)^(2)then A is:

    Text Solution

    |

  16. If A=[(1,2),(0,1)]then A^(4) is:

    Text Solution

    |

  17. If A is a square matrix such that A^(2)=A,then the value of A+(A-I)^(4...

    Text Solution

    |

  18. If A and B are symmetric matrices of same order than AB-BA is a:

    Text Solution

    |

  19. Let A=|(a(1),b(1),c(1)),(a(2),b(2),c(2)),(a(3),b(3)c(3))|then the cofa...

    Text Solution

    |

  20. The area of traingle whose vertices are (0,0),(3,4),and(2,5) is :

    Text Solution

    |