Home
Class 11
MATHS
If the order of A is 4xx3, the order of ...

If the order of A is `4xx3`, the order of B is `4xx5` and the order of C is `7xx3` then the order of `(A^(T)B)^(T)C^(T)` is

A

`7xx5`

B

`5xx7`

C

`4xx7`

D

`7xx4`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise ALGEBRA OF MATRICES - EXERCISE - II|34 Videos

  • MATRICES

    AAKASH SERIES|Exercise ALGEBRA OF MATRICES -PRACTICE EXERCISE|41 Videos

  • MATRICES

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|51 Videos

  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

Similar Questions

Explore conceptually related problems

If A^(T)B^(T)=C^(T) then C =

The order of the matrix A is 3xx5 and that of B is 2xx3 . The order of the matrix BA is

For the reaction A+Bto products, it is found that order of A is 1 and order of B is 1//2 . When concentrations of both A and B are increased four times the rate will increase by a factor

A = tan 1,B = tan2, C = tan3, then the desending order of A,B,C is

If A is a 3xx4 matrix and B is matrix such that A^(T)B and BA^(T) are both defined then order of B is

If int Tan^(4)xdx=A tan^(3)x +B tan x+Cx+c then the descending order of A,B,C is

If A, B, C are the x intercepts of the lines 2x+3y=4, 3y-5x+7=0, x+y+1=0 then the ascending order of A, B, C is

If [(1,2,3)]B=[(3,4)] then the order of the matrix B is

P.T the determinant of skew symmetric matrix of order 3 is zero.

AAKASH SERIES-MATRICES -ALGEBRA OF MATRICES -EXERCISE - I
  1. If tr(A)=3,tr(B)=5 then tr(AB)=

    Text Solution

    |

  2. If A=[(4,x+2),(2x-3,x+1)] is symmetric then trace of A is

    Text Solution

    |

  3. If A=[(x,1,4),(-1,0,7),(-4,-7,0)] such that A'=-A then x=

    Text Solution

    |

  4. P+Q=((2,3,5),(4,1,2),(1,2,1)),P is symmetric, Q is a skew symmetric ma...

    Text Solution

    |

  5. If 3A+4B'=[(7,-10,17),(0,6,31)],2B-3A'=[(-1,18),(4,-6),(-5,-7)] then B...

    Text Solution

    |

  6. If A=[(cos theta, sin theta, 0),(-sin theta, cos theta, 0),(0,0,1)] th...

    Text Solution

    |

  7. If 3A=[(-1,2,2),(2,-1,2),(2,2,-1)] then

    Text Solution

    |

  8. If A=[(2,x-3,x-2),(3,-2,-1),(4,-1,-5)] is a symmetric matrix then x =

    Text Solution

    |

  9. If A=[(ab,b^(2)),(-a^(2),-ab)] then A is

    Text Solution

    |

  10. If A=[(2,-2,-4),(-1,3,4),(1,-2,-3)] then A is

    Text Solution

    |

  11. If A=[a(ij)](nxxn) and a(ij)="A.M." of {i,j} then A is

    Text Solution

    |

  12. If the order of A is 4xx3, the order of B is 4xx5 and the order of C i...

    Text Solution

    |

  13. If A is a 3xx4 matrix and B is matrix such that A^(T)Band BA^(T) are b...

    Text Solution

    |

  14. If A is idempotent matrix A+B=I then B is

    Text Solution

    |

  15. If A is a square matrix then A-A^(T) is a . . . . . .. Matrix

    Text Solution

    |

  16. If A, B are symmetric matrices of the same order then show that AB-BA ...

    Text Solution

    |

  17. A square matrix (a(ij)) where a(ij)=0 for i!=j and a(ij)=k (constant) ...

    Text Solution

    |

  18. If a matrix A is both symmetric and skew symmetric then A is

    Text Solution

    |

  19. If B an idempotent matrix and A=I-B then AB =

    Text Solution

    |

  20. Statement I : Trace of matrix is defined for square matrices only. S...

    Text Solution

    |