Home
Class 12
MATHS
Let M(n)=[m("ij")] denotes a square matr...

Let `M_(n)=[m_("ij")]` denotes a square matrix of order n with entries as follows for `1 le i le n, m_(ii)=10`, for `1le i le n-1,m_(i+1,i)=m_(i+i+1)=3` and other entries in `M_(n)` are zero. Let `D_(n)` be the determinant of matrix of matrix `M_(n)`, then find the value of `(D_(3)-9D_(2))`

A

0

B

1

C

2

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSIGNMENT -OBJECTIVE|84 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSERTION - REASONING|8 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos
  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos
  • MATRICES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

Let A be a square matrix of order n. Then; A(adjA)=|A|I_(n)=(adjA)A

If I_(n) is the identity matrix of order n then (I_(n))^(-1)=

Let A be a square matrix of order 3 whose all entries are 1 and let I_(3) be the indentiy matrix of order 3. then the matrix A - 3I_(3) is

A=[a_(ij)]_(m xx n) is a square matrix,if (a)m

If I_n is the identity matrix of order n then (I_n)^-1 (A) does not exist (B) =0 (C) =I_n (D) =nI_n

A square matrix M of order 3 satisfies M^(2)=I-M , where I is an identity matrix of order 3. If M^(n)=5I-8M , then n is equal to _______.

M_( n ) be an n times n matrix with I in the main diagonal and directly above and below it,all other entries are zero The absolute value of detrminant of M_(4) is

FIITJEE-MATHEMATICS TIPS-ASSIGNMENT (SECTION (I) : MCQ (SINGLE CORRECT)
  1. Number of solutions of Re(z^(2))=0 and |Z|=a sqrt(2), where z is a com...

    Text Solution

    |

  2. If (1+ i sqrt(3))^(1999)=a+ib, then

    Text Solution

    |

  3. If z is a complex number satisfying the equation z^6 +z^3 + 1 = 0. If ...

    Text Solution

    |

  4. The value of (1)/(81^(n))-(10)/(81^(n)).""^(2n)C(2)-(10^(3))/(81^(n))....

    Text Solution

    |

  5. The unit digit of (3+sqrt(5))^(2013)+(3-sqrt(5))^(2013) is

    Text Solution

    |

  6. 3""^(n)C(0)+10""^(n)C(1)+28""^(n)C(2)+82""^(n)C(3)+…(n+1) terms =

    Text Solution

    |

  7. A and B are two non-singular square matrices of each 3xx3 such that AB...

    Text Solution

    |

  8. A, B, C are three non-zero matrices such that ABC = O, which of the fo...

    Text Solution

    |

  9. If A is skew symmetric matrix, then I - A is (where I is identity matr...

    Text Solution

    |

  10. If A=[(a,b,c),(b,c,a),(c,a,b)],abc=1,A^(T)A=l, then find the value of ...

    Text Solution

    |

  11. Let M(n)=[m("ij")] denotes a square matrix of order n with entries as ...

    Text Solution

    |

  12. If A+B+C=pi, then the value of determinant |{:(sin^(2)A, cotA,1),(sin^...

    Text Solution

    |

  13. The product of all values of t , for which the system of equations (a-...

    Text Solution

    |

  14. The value of a for which the system of equations , a^(3)x + (a + 1)^(3...

    Text Solution

    |

  15. The number of 'n' digit numbers such that no two consecutive digits ar...

    Text Solution

    |

  16. The number of permutations {a(1),a(2),…,a(10)} of {1,2,3,…,10} satisfy...

    Text Solution

    |

  17. You are given an unlimited supply of each of the digits 1, 2, 3, or 4....

    Text Solution

    |

  18. In a certain test, there are n questions. In this, 2^( n-r ) students ...

    Text Solution

    |

  19. Consider the equation (xy)/(x+y)=2^(3)3^(4)5^(6) then the number of po...

    Text Solution

    |

  20. If vec a , vec ba n d vec c are three non-zero vectors, no two of whi...

    Text Solution

    |