Home
Class 14
MATHS
Let A=[(1,2),(3,4)], [a(ij)] where I,j =...

Let `A=[(1,2),(3,4)]`, `[a_(ij)]` where I,j =1,2. If its inverse matrix is `[b_(q)]`, then what is `b_(22)` equal to ?

A

A. `-2`

B

B. 1

C

C. `(1)/(3)`

D

D. `-(1)/(2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MATRIX

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|91 Videos
  • LOGARITHM

    PUNEET DOGRA|Exercise PREVIOUS YEAR QUESTIONS|24 Videos
  • PERMUTATION AND COMBINATION

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|50 Videos

Similar Questions

Explore conceptually related problems

Let A = [{:(1,2),(3,4):}]=[a_(ij)] , where i, j = 1, 2, If its inverse matrix is [b_(ij)] , what is b_(22) ?

Let A=[[1,1,2] , [-1,1,-1] , [1,-1,2]] B is the inverse matrix of A and C is the inverse matrix of B. If b_(ij) and c_(ij) are the general terms of B and C then the value of c_(12) b_(32) equals

if A=[a_(ij)]_(2*2) where a_(ij)={i+j,i!=j and a_(ij)=i^(2)-2j,i=j then A^(-1) is equal to

Let A=[a_(ij)] and B=[b_(ij)] be two 3xx3 real matrices such that b_(ij)=(3)(i+j-2)a_(ji) , where i, j = 1,2,3. If the determinant of B is 81, then the determinant of A is :

If matrix A=[a_(ij)]_(2xx2^(,)) where a_(ij)=1" if "i!=j =0" if "i=j then A^(2) is equal to :

Let A=[a_(ij)] and B=[b_(ij)] be two 3times3 real matrices such that b_(ij)=(3^(i+j-2))a_(ji) , where i,j=1,2,3 . If the determinant of B is 81 , then the determinant of A is

Let A=[a_(ij)]_(n xx n) where a_(ij)=i^(2)-j^(2). Then A is: (A) skew symmetric matrix (B) symmetric matrix (C) null matrix (D) unit matrix

Let A=[a_(ij)] and B=[b_(ij)] be two 3times3 real matrices such that b_(ij)=(3)^((i+j-2))a_(ji) ,where i,j=],[1,2,3 .If the determinant of B is 81 ,then the determinant of A is

PUNEET DOGRA-MATRIX-PREV YEAR QUESTIONS
  1. If A is a square matrix such that A^(2)=l where l is the identity matr...

    Text Solution

    |

  2. What is the order of : [xyz] [{:(a,h,g),(h,b,f),(g,f,c):}][{:(x),(y),(...

    Text Solution

    |

  3. Then sum and product of matrices A and B exist. Which of the following...

    Text Solution

    |

  4. If A=[{:(1,2),(1,1):}] and B = [{:(0,-1),(1,2):}] , then what is the v...

    Text Solution

    |

  5. Consider the following statements with respect to the square matrices ...

    Text Solution

    |

  6. For what value of x does {:(1  {:3 &nbsp {:2:})({:(1,3,0),(3,0,2),(2,0...

    Text Solution

    |

  7. If the matrix A=[{:(2-x,1,1),(1,3-x,0),(-1,-3,-x):}] is singular then ...

    Text Solution

    |

  8. If A=[{:(alpha,0),(1,1)] and B=[{:(1,0),(2,1):}] such that A^(2)=B the...

    Text Solution

    |

  9. If A=[{:(3,1),(0,4):}] and B = [{:(1,1),(0,2):}], then which of the fo...

    Text Solution

    |

  10. If [{:(1,-3,2),(2,-8,5),(4,2, lamda):}] is not an invertible matrix, t...

    Text Solution

    |

  11. Consider the following statements. I. The inverse of the square matr...

    Text Solution

    |

  12. If the matrix A=[{:(alpha, beta),(beta,alpha):}] is such that A^(2)=I,...

    Text Solution

    |

  13. Let A and B matrices of order 3xx3 If AB=0. then which of the followin...

    Text Solution

    |

  14. Consider the following statements in respect of a square matrix A and ...

    Text Solution

    |

  15. If A=[{:(0,1),(-1,0):}] B=[{:(i,0),(0,-i):}] C=[{:(0,-i),(-i,0):}] the...

    Text Solution

    |

  16. If A is a square matrix, then the value of adj A^(T)-(adj A)^(T) is eq...

    Text Solution

    |

  17. If a matrix A is such that 3A^(3)+2A^(2)+5A+1=0. Then A^(-1) is equal ...

    Text Solution

    |

  18. Let A [{:(5,6,1),(2,-1,5):}], if there exists a matrix B such that AB ...

    Text Solution

    |

  19. Consider the following statements: I. If A=A. then A is singular mat...

    Text Solution

    |

  20. Let A=[(1,2),(3,4)], [a(ij)] where I,j =1,2. If its inverse matrix is ...

    Text Solution

    |