Home
Class 14
MATHS
Let A and B be (3 xx 3) matrices with de...

Let A and B be `(3 xx 3)` matrices with det A = 4 and det B = 3
What is det `(3 AB^(-1))` equal to ?

A

A) 12

B

B) 18

C

C) 36

D

D) 48

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |55 Videos

  • DEFINITE INTEGRATION

    PUNEET DOGRA|Exercise PREVIOUS YEAR QUESTIONS |65 Videos

  • DIFFERENTIAL EQUATION

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |84 Videos

Similar Questions

Explore conceptually related problems

Let A and B be (3 xx 3) matrices with det A = 4 and det B = 3. What is det (2AB) equal to ?

Let A and B be (3 xx 3) matrices with det A = 4 and det B = 3 What is det (2AB) equal to ?

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

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

Let A and B be two invertible matrices of order 3xx3 . If det. (ABA^(T)) = 8 and det. (AB^(-1)) = 8, then det. (BA^(-1)B^(T)) is equal to

IF A_(3 times 3) and det A=3 then det (2 adj A) is equal to

Let A and B be two invertible matrices of order 3 xx 3 . If "det"(ABA^(T)) =8 " and det"(AB^(-1)) =8, " then det"(BA^(-1)B^(T)) is equal to

PUNEET DOGRA-DETERMINANTS -PREV YEAR QUESTIONS
  1. If A is a square matrix of order n gt 1, then which one of the followi...

    Text Solution

    |

  2. Let A and B be (3 xx 3) matrices with det A = 4 and det B = 3 What i...

    Text Solution

    |

  3. Let A and B be (3 xx 3) matrices with det A = 4 and det B = 3 What i...

    Text Solution

    |

  4. If in a triangle ABC, |{:(1, sin A ,sin^(2)A),(1,sin B , sin^(2)B),(1,...

    Text Solution

    |

  5. Find the values of x,y,z if the matrix A=[(0,3y,z),(x,y,-z),(x,-y,z)] ...

    Text Solution

    |

  6. If u, v and w (all positive) are the pth, qth, and rth terms of a GP, ...

    Text Solution

    |

  7. If a + b + c = 0, then one of the solution of |(a-x,c,b),(c,b-x,a),(b,...

    Text Solution

    |

  8. Which one of the following factors does the expansions of the determin...

    Text Solution

    |

  9. The system of equation 2x + y - 3z = 5 3x - 2y + 2z = 5 5x - 3y ...

    Text Solution

    |

  10. The value of the determinants |("cos"^(2)(theta)/(2),"sin"^(2)(theta)/...

    Text Solution

    |

  11. The system of equation kx + y + z = 1, x + ky + z = k and x + y + kz =...

    Text Solution

    |

  12. If p + q + r = a + b + c = 0, then the determinant |(pa,qb,rc),(qc,ra,...

    Text Solution

    |

  13. The value of the determinant : |(1-alpha,alpha-alpha^(2),alpha^(2)),(1...

    Text Solution

    |

  14. If B is a non-singular matrix and A is a square matrix, then the value...

    Text Solution

    |

  15. What is the value of the determinant ? |(1,1,1),(1,1+xyz,1),(1,1,1+x...

    Text Solution

    |

  16. If |(x,y,0),(0,x,y),(y,0,x)| = 0, then which one of the following is c...

    Text Solution

    |

  17. If A=[(cos alpha,sin alpha),(-sin alpha,cos alpha)] and A. adj A=[(k,...

    Text Solution

    |

  18. If a ne b ne c, then one value of x which satisfies the equation. [(0,...

    Text Solution

    |

  19. Let ax^(3) + bx^(2) + cx + d |(x+1,2x,3x),(2x+3,x+1,x),(2-x,3x+4,5x-...

    Text Solution

    |

  20. Let ax^(3) + bx^(2) + cx + d |(x+1,2x,3x),(2x+3,x+1,x),(2-x,3x+4,5x-...

    Text Solution

    |