Home
Class 12
MATHS
If the adjoint of a 3xx3 matrix P is [[1...

If the adjoint of a `3xx3` matrix P is `[[1,4,4],[2,1,7],[1,1,3]]`, then the
possible value (s) of the determinant of P is (are)

A

`-2`

B

`-1`

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise PART-II:|28 Videos

  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise HLP|34 Videos

  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise PART-IV|1 Videos

  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise SELF PRACTIC PROBLEMS|25 Videos

  • NUMBER THEORY

    RESONANCE ENGLISH|Exercise Exercise -2 (PART - II)|4 Videos

Similar Questions

Explore conceptually related problems

If the adjoint of a 3 xx 3 matrix P is [{:(,1,4,4),(,2,1,7),(,1,1,3):}] , then the possible value(s) of the determinant of P is (are)

If the adjoint of a 3x3 matrix P is (1 4 4) (2 1 7) (1 1 3) , then the possible value(s) of the determinant of P is (are) (A) -2 (B) -1 (C) 1 (D) 2

1.Find the adjoint of the matrix A= [[1,2],[3,4]]

Find the adjoint of matrix A=[a_(i j)]=[[1, 1, 1],[ 2, 1,-3],[-1, 2, 3]]

Find the adjoint of matrix A=[a_(i j)]=|[1, 1, 1], [2, 1,-3],[-1, 2, 3]| .

Find the adjoint of the matrix A=[(1,1,1),(2,1,-3),(-1,2,3)] .

Find the rank of the matrix [[1,2,-1,3],[2,4,1,-2],[3,6,3,-7]]

Find the rank of the matrix A = [[2,4,3,-2],[-3,-2,-1,4],[6,-1,7,2]]

find the adjoint of the matrix A=[(1,2,3),(0,5,0),(2,4,3)]

Write the adjoint of the following matrix: [[2,-1],[4,3]]

RESONANCE ENGLISH-MATRICES & DETERMINANT-EXERCISE-3
  1. Let a, b, and c be three real numbers satifying [(a, b, c)] [(1,9,7)...

    Text Solution

    |

  2. Let omega!=1 be cube root of unity and S be the set of all non-singula...

    Text Solution

    |

  3. Let M be a 3xx3 matrix satisfying M[0 1 0]=M[1-1 0]=[1 1-1],a n dM[1 1...

    Text Solution

    |

  4. Let P=[a(i j)] be a 3xx3 matrix and let Q=[b(i j)],w h e r eb(i j)=2^(...

    Text Solution

    |

  5. If P is a 3xx3 matrix such that P^(T) = 2 P + I , where P^(T) is the...

    Text Solution

    |

  6. If the adjoint of a 3xx3 matrix P is [[1,4,4],[2,1,7],[1,1,3]], then t...

    Text Solution

    |

  7. For 3xx3 matrices M \ a n d \ N , which of the following statement (s)...

    Text Solution

    |

  8. Let M be a 2xx2 symmetric matrix with integer entries. Then , M is i...

    Text Solution

    |

  9. Let M and N be two 3xx3 matrices such that MN=NM. Further, if M ne N^(...

    Text Solution

    |

  10. Let X \ a n d \ Y be two arbitrary, 3xx3 , non-zero, skew-symmetric ma...

    Text Solution

    |

  11. Which of the following values of alpha satisfying the equation |(1+alp...

    Text Solution

    |

  12. Let p=[(3,-1,-2),(2,0,alpha),(3,-5,0)], where alpha in RR. Suppose Q=[...

    Text Solution

    |

  13. The total number of distinct x in R for which |{:(x,,x^(2),,...

    Text Solution

    |

  14. Let P=[(1,0,0),(3,1,0),(9,3,1)] and Q = [q(ij)] be two 3xx3 matrices s...

    Text Solution

    |

  15. Let alpha, lambda , mu in R.Consider the system of linear equations ...

    Text Solution

    |

  16. Which of the following is (are) NOT the square of a 3xx3 matrix with r...

    Text Solution

    |

  17. for a real number alpha if the system [{:(1,,alpha,,alpha^(2)),(alp...

    Text Solution

    |

  18. How many 3xx3 matrices M with entries from {0, 1, 2} are there, for wh...

    Text Solution

    |

  19. Let S be the set of all column matrices [(b(1)),(b(2)),(b(3))] such th...

    Text Solution

    |

  20. Let P be a matrix of order 3 x 3 such that all the entries in P are f...

    Text Solution

    |