Home
Class 12
MATHS
If A=|a(ij)| and A(ij) denotes the cofac...

If `A=|a_(ij)|` and `A_(ij)` denotes the cofactor of `a_(ij)`, then which of the following is not equal to zero ?

A

`a_(31)A_(11)+a_(32)A_(12)+a_(33)A_(13)`

B

`a_(11)A_(31)+a_(12)A_(32)+a_(13)A_(33)`

C

`A_(21)A_(21)+a_(22)A_(22)+a_(23)A_(23)`

D

`a_(31)A_(21)+a_(32)A_(22)+a_(33)A_(23)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 5|80 Videos
  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

If A=[a_(ij)]_(mxxn) and a_(ij)=(i^(2)+j^(2)-ij)(j-i) , n odd, then which of the following is not the value of Tr(A) (a) 0 (b) |A| (c) 2|A| (d) none of these

Let A=([a_(i j)])_(3xx3) be a matrix such that AA^T=4Ia n da_(i j)+2c_(i j)=0,w h e r ec_(i j) is the cofactor of a_(i j)a n dI is the unit matrix of order 3. |a_(11)+4a_(12)a_(13)a_(21)a_(22)+4a_(23)a_(31)a_(32)a_(33)+4|+5lambda|a_(11)+1a_(12)a_(13)a_(21)a_(22)+1a_(23)a_(31)a_(32)a_(33)+1|=0 then the value of 10lambda is _______.

If a_(0)=x,a_(n+1)=f(a_(n)), " where " n=0,1,2, …, then answer the following questions. If f(x)=(1)/(1-x), then which of the following is not true?

If A = [a_(ij)] is a 2 xx2 matrix such that a_(ij)=i+2j , then A will be

If alpha and beta are the rootsof he equations x^2-a x+b=0a n dA_n=alpha^n+beta^n , then which of the following is true? a) A_(n+1)=a A_n+b A_(n-1) b) A_(n+1)=b A_(n-1)+a A_n c) A_(n+1)=a A_n-b A_(n-1) d) A_(n+1)=b A_(n-1)-a A_n

For any three sets A_(1), A_(2), A_(3) let B_(1)= A_(1) , B_(2) =A_(2) -A_(1) and B_(3) =A_(3) -(A_(1) uuA_(2)): then which one of the following statement is always true ?

If A=[a_(ij)] is a 2xx2 matrix such that a_(ij)=i+2j then A will be___

Let A be the 2 xx 2 matrix given by A=[a_("ij")] where a_("ij") in {0, 1, 2, 3, 4} such theta a_(11)+a_(12)+a_(21)+a_(22)=4 then which of the following statement(s) is/are true ?

Consider an arbitarary 3xx3 non-singular matrix A[a_("ij")] . A matrix B=[b_("ij")] is formed such that b_("ij") is the sum of all the elements except a_("ij") in the ith row of A. Answer the following questions : If there exists a matrix X with constant elemts such that AX=B , then X is

Let A=[a_(ij)]_(m×n) is defined by a_(ij)=i+j . Then the sum of all the elements of the matrix is

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 7
  1. The inverse of the matrix [(1, 0,0),(a,1,0),(b,c,1)] is -

    Text Solution

    |

  2. If A=|a(ij)| and A(ij) denotes the cofactor of a(ij), then which of th...

    Text Solution

    |

  3. The minors of (-4) and 9 and the cofactors of (-4) and 9 in matrix [(...

    Text Solution

    |

  4. If |(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 then the value of x is -

    Text Solution

    |

  5. If the system of equations x+y+z=6, x+2y+kz=0 and x+2y+3z=10 has no so...

    Text Solution

    |

  6. If A=[(-i,0),(0,i)] then A^(T)A is equal to -

    Text Solution

    |

  7. If A=[(0,3),(4,5)] and kA=[(0,4a),(3b,60)], then the values of k, a an...

    Text Solution

    |

  8. The value of the determinant |(1,a,a^(2)-bc),(1,b,b^(2)-ca),(1,c,c^(2)...

    Text Solution

    |

  9. If the matrix A stisfies the equation [(1,3),(0,1)]*A=[(1,1),(0,-1)],...

    Text Solution

    |

  10. For any matrix A, if A^(-1) exists then which of the following is not ...

    Text Solution

    |

  11. If a(1), a(2), a(3)…, a(n) are in G.P., then the value of the determin...

    Text Solution

    |

  12. The value of the determinant |((10)!,(11)!,(12)!),((11)!,(12)!,(13)!),...

    Text Solution

    |

  13. If C is the midpoint of AB and P is any point outside AB, then which o...

    Text Solution

    |

  14. The position vectors of the points A, B, C are (hati-3hatj-5hatk),(2h...

    Text Solution

    |

  15. If N be the set of natural numbers and and N(a)={an :n in N} then N(5)...

    Text Solution

    |

  16. If the function f: R to R is defined by f(x)=x^(2)-6x-14, then f^(-1)(...

    Text Solution

    |

  17. Let f:R to R be defined by f(x)=x^(2) and g:R to R be defined by g(...

    Text Solution

    |

  18. If f:R to S is defined by f(x)=sinx-sqrt(3)cosx+1 is onto, then the in...

    Text Solution

    |

  19. If (x^(3))/((2x-1) (x+2) (x-3))=A+ (B)/(2x-1) +(C )/(x+2) + (D)/(x-3),...

    Text Solution

    |

  20. The value of ["tan"^(-1)(m)/(n)-tan^(-1)((m-n)/(m+n))] is -

    Text Solution

    |