Home
Class 12
MATHS
The set of natural numbers N is partitio...

The set of natural numbers N is partitioned into arrays of rows and columns in the form of matrices as `M_1=(1),M_2=((2,3),(4,5)),M_3=((6,7,8),(9,10,11),(12,13,14)),...,M_n=()` and so on. Find the sum of the elements of the

A

the first term in `m_10 ` matrix is 286

B

the first term in `m_10 ` matrix is 366

C

sum of the elements of the diagonal in `m-10 ` is 3355

D

sum of the elements of the diagonal in `m_10 ` is 4455

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (SUBJECTIVE) (Level-I)|12 Videos

  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (SUBJECTIVE) (Level-II)|13 Videos

  • MATRICES

    FIITJEE|Exercise SOLVED PROBLEM (SUBJECTIVE)|12 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

  • PARABOLA

    FIITJEE|Exercise NUMERICAL BASED|5 Videos

Similar Questions

Explore conceptually related problems

The set of natural numbers is divided into array of rows and columns in the form of matrices as A_(1)=[1], A_(2)=[(2,3),(4,5)], A_(3)=[(6,7,8),(9,10,11),(12,13,14)] and so on. Let the trace of A_(10) be lambda . Find unit digit of lambda ?

The series of natural numbers is divided into groups asfollows; (1),(2,3),(4,5,6),(7,8,9,10) and so on. Find the sum of the numbers in the n^(t)h group is

If N, the set of natural numbers is partitionaed into groups S_(1)={1},S_(2)={2,3},S_(3)={4,5,6,7},S_(4)={8,9,10,11,12,13,14,15},"....", find the sum of the numbers n C_(50).

The element in the second row and third column of the matrix [{:(1,2,3),(4,5,6),(7,8,9):}] is ________

FIITJEE-MATRICES -SOLVED PROBLEM
  1. If the trace of the matrix A= [{:( x-1 ,0,2,5),( 3, x^(2) - 2 ,4,1),(...

    Text Solution

    |

  2. If A and B are square matrices of order 3, then

    Text Solution

    |

  3. If A and B are any two square matrices of the same order than ,

    Text Solution

    |

  4. IF A = [{:( -2,3,-1),( -1,2,-1),( -6,9,-4) :}] and B = [{:( 1,3,-1),(...

    Text Solution

    |

  5. If A=[{:( 1,-tanx ),( tanx ,1):}] then the value of [A^(T) A^(-1) ] ...

    Text Solution

    |

  6. If A = [{:( alpha , 2),( 2,alpha ) :}] and |A^(3) | = 125 then the val...

    Text Solution

    |

  7. A= [{:( 1,0,0) ,( 0,1,1) , ( 0,-2,4) :}] ,I= [{:( 1,0,0) ,( 0,1,0),( 0...

    Text Solution

    |

  8. If A is a square matrix of order 5 and 9A^(-1) then [adj (adj AJJ] (...

    Text Solution

    |

  9. The set of natural numbers N is partitioned into arrays of rows and co...

    Text Solution

    |

  10. For what value of x, the matrix [{:( 3-x,2,2),( 2,4-x,1),(-2,-4,-1-x)...

    Text Solution

    |

  11. The adjoint of the matrix A= [{:( 1,2),( 3,-5) :}] is

    Text Solution

    |

  12. The system AX = B of n equation in n unknown has infinitely many solut...

    Text Solution

    |

  13. The number of matrices in A is

    Text Solution

    |

  14. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

    Text Solution

    |

  15. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

    Text Solution

    |

  16. Let A be an mxxn matrix. If there exists a matrix L of type nxxm such ...

    Text Solution

    |

  17. The number of right inverses for the matrix [{:( 1,-1,2),( 2,-1,1):}]

    Text Solution

    |

  18. Let A=[{:(x^(2),6,8),(3,y^(2),9),(4,5,z^(2)):}],B=[{:(2x,3,5),(2,2y,6)...

    Text Solution

    |

  19. if Aa n dB are squares matrices such that A^(2006)=Oa n dA B=A+B ,t h ...

    Text Solution

    |

  20. If A=[1 0-1 7] , find k such that A^2-8A+k I=O .

    Text Solution

    |