Home
Class 14
MATHS
If A is invertible matrix. Then what is ...

If A is invertible matrix. Then what is det `(A^(-1))` equal to ?

A

A, det A

B

B. `(1)/(det A)`

C

C. 1

D

D. None of these

Text Solution

Verified by Experts

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

If A is an invertible matrix then det(A^-1) is equal to (A) 1 (B) 1/|A| (C) |A| (D) none of these

If A is an invertible matrix of order 2 then det (A^(-1)) is equal to (a) det (A) (b) (1)/(det(A))(c)1 (d) 0

If A is an invertible matrix of order 2, then det (A^(-1)) is equal to

If A is an invertible matrix,tehn (adj.A)^(-1) is equal to adj.(A^(-1)) b.(A)/(det.A) c.A d.(det A)A

If A is a invertible matrix of order 4 then |A^(-1)|=

If A is invertible matrix of order 3xx3 , then |A^(-1)| is equal to…………

If A is an invertible square matrix then |A^(-1)| =?

If A is a 33 invertible matrix,then what will be the value of k if det(A^(1))=(det A)^(k)

If A is semy square matrix of order 3 and det A = 5, then what is det [(2A)^(-1)] equal to ?

If A is a square matrix of order 3 and det A = 5, then what is det [(2A)^(-1)] equal to ?

PUNEET DOGRA-MATRIX-PREV YEAR QUESTIONS
  1. If, A and B be two matrices such that AB = A and BA=B. Then. Which of ...

    Text Solution

    |

  2. If the matrix A is such that ({:(1,3),(0,1):})A=({:(1,1),(0,-1):}), th...

    Text Solution

    |

  3. If A is invertible matrix. Then what is det (A^(-1)) equal to ?

    Text Solution

    |

  4. If A, B, and C are three square matrices of the same order, then AB=AC...

    Text Solution

    |

  5. If A=({:(4,x+2),(2x-3,x+1):}) is symmetric, then what is x equal to ?

    Text Solution

    |

  6. Consider the following statements in respect of the matrix A=[{:(0,1,2...

    Text Solution

    |

  7. Consider two matrices A=[{:(1,2),(2,1),(1,1):}] and B =[{:(1,2,-4),(2,...

    Text Solution

    |

  8. If A is any matrix. Then the product AA is defied only when A is a mat...

    Text Solution

    |

  9. If [{:(2,3),(4,1)]xx[{:(5,-2),(-3,1)]=[{:(1,-1),(17,lamda):}] then wha...

    Text Solution

    |

  10. If A[{:(i,0),(0,-i)]B=[{:(0,-1),(1,0)] and C =[{:(0,i),(i,0):}] where ...

    Text Solution

    |

  11. Consider the following statements: I. The product of two non-zero ma...

    Text Solution

    |

  12. Consider the following statements : I. The matrix ({:(1,2,1),(2,2a,1...

    Text Solution

    |

  13. If 2A=[{:(2,1),(3,2):}] then what is A^(-1) equal to ?

    Text Solution

    |

  14. If A and B are two non-singular square matrices such that AB=A. then w...

    Text Solution

    |

  15. If A=[{:(3,4),(5,6),(7,8):}] and B =[{:(3,5,7),(4,6,8):}], then Which ...

    Text Solution

    |

  16. The inverse of a diagonal matrix is a:

    Text Solution

    |

  17. If the matrix [{:(alpha, 2,2),(-3,0,4),(1,-1,1):}] is not invertible t...

    Text Solution

    |

  18. If the matrix AB is a zero matrix, then which one of the following is ...

    Text Solution

    |

  19. If the sum the matrices [{:(x),(x),(y):}][{:(y),(y),(z):}] and [{:(z),...

    Text Solution

    |

  20. A square matrix [A(ij)] such that a(ij)=0 for I ne j and a(ij)=k where...

    Text Solution

    |