Home
Class 12
MATHS
If the value of a third order determinan...

If the value of a third order determinant is 12, then the value of the determinant formed by replacing each element by its co-factor will be `144`.

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ACCURATE PUBLICATION|Exercise (Question carrying 2 marks)|21 Videos

  • DETERMINANTS

    ACCURATE PUBLICATION|Exercise (Question carrying 6 marks)|7 Videos

  • DETERMINANTS

    ACCURATE PUBLICATION|Exercise Type-II (Fill in the blanks questions)|31 Videos

  • DEFINITE INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTION CARRYING 4 MARKS|8 Videos

  • DIFFERENTAL QUATIONS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|41 Videos

Similar Questions

Explore conceptually related problems

If the value of a third order determinant is 11, find the value of the square of the determinat formed by the cofactors.

find the larget value of a third- order determinant whose elements are 0 or 1.

Find the largest value of a third order determinant whose elements are 0 or -1.

Show that the value of a third order determinant whose all elements are 1 or -1 is an even number.

If any two rows (or columns) of a determinant are identical, the value of the determinant is zero.

If each element of a second order determinant is either zero or one, what is the probability that the value of the determinant is positive? (Assume that the individual entries of the determinant are chosen independently, each value being assumed with probability 1/2 )

Let A be the the square matrix of order 3 and deteminant of A is 5 then find the value of determinant of adj(A)

Minimum value of a second order determinant whose each is either 1 or 2 is equal to

ACCURATE PUBLICATION-DETERMINANTS-Type-III (True or False questions)
  1. (aA)^(-1)=(1)/(a)A^(-1), where a is any real number and A is a square ...

    Text Solution

    |

  2. |A^(-1)| ne |A|^(-1) , where A is non-singular matrix.

    Text Solution

    |

  3. If A and B are matrices of order 3 and |A|=5, |B|=3, then |3AB|=27xx5x...

    Text Solution

    |

  4. If the value of a third order determinant is 12, then the value of the...

    Text Solution

    |

  5. Without expanding the determinant at any stage, prove that {:|(x+1,x+2...

    Text Solution

    |

  6. |adj.A|=|A|^(2), where a is a square matrix of order two.

    Text Solution

    |

  7. The determinant |{:(sinA,cosA,sinA+cosB),(sinB,cosA,sinB+cosB),(sinC,c...

    Text Solution

    |

  8. If the determiant |{:(x+a,p+u,l+f),(y+b,q+v,m+g),(z+c,r+w,n+h):}| spli...

    Text Solution

    |

  9. Let Delta=|{:(a,p,x),(b,q,y),(c,r,z):}|=16, then Delta(1)=|{:(p+x,a+x,...

    Text Solution

    |

  10. Find the maximum value of : {:|(1,1,1),(1,1+sintheta,1),(1,1,1+costh...

    Text Solution

    |

  11. If A=[{:(3,4),(1,2):}], then the value of 3|A| is 6.

    Text Solution

    |

  12. If |{:(2x,x+3),(2(x+1),x+1):}|=|{:(1,5),(3,3):}|, then the value of x ...

    Text Solution

    |

  13. If A=({:(a,3),(3,a):}) and |A|^(3)=-125 , then a equals +2.

    Text Solution

    |

  14. The value of the determinant |{:(2,3,4),(5,6,8),(6x,9x,12x):}| is

    Text Solution

    |

  15. If A is a square matrix and |A|=2, then the value of |A A'| is 5.

    Text Solution

    |

  16. A matrix A of order 3xx3 is such that |A|=4. Then the value of |2A| is...

    Text Solution

    |

  17. The value of determinant |{:(2,a,abc),(2,b,abc),(2,c,abc):}| is 0.

    Text Solution

    |

  18. The value of determinant |{:(11,12,13),(12,13,14),(13,14,15):}| is 1.

    Text Solution

    |

  19. If A is a square matrix of order 3 and |3A| = k|A|, then write the val...

    Text Solution

    |

  20. prove (A^(-1))'=(A')^(-1)

    Text Solution

    |