Home
Class 12
MATHS
Let A be a non-singular matrix of order ...

Let A be a non-singular matrix of order `3 xx 3`. Then I adj. A I is equal to :`

A

|A|

B

`|A|^2`

C

`|A|^3`

D

3|A|

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MODERN PUBLICATION|Exercise EXERCISE|326 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE|588 Videos

  • EXCLUSIVELY FOR JEE(ADVANCED)

    MODERN PUBLICATION|Exercise EXERCISE|38 Videos

Similar Questions

Explore conceptually related problems

Let A be a non-singular square matrix of order 3×3. Then abs(adjA) is

Let A be a square matrix of order 3 xx 3 . Then I kA I is equal to :

If A is a non-singular matrix of ordern, then |adj A| is equal to

Let A be a square matrix of order 3 xx 3 , then I 2A I is equal to :

If A is a non-singular matrix of order 3 and |A| = 3, then |Adj. A| equals

MODERN PUBLICATION-DETERMINANTS-EXERCISE
  1. Which of the following is correct

    Text Solution

    |

  2. If area of triangle is 35 sq. units with vertices (2,-6), (5, 4) and (...

    Text Solution

    |

  3. Let A be a non-singular matrix of order 3 xx 3. Then I adj. A I is equ...

    Text Solution

    |

  4. Select the Correct Option If A is an invertible matrix of order 2, the...

    Text Solution

    |

  5. If a, b, c, are in A.P, then the determinant |[x+2,x+3,x+2a],[x+3,x+4,...

    Text Solution

    |

  6. Let A = [[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]], wher...

    Text Solution

    |

  7. If |(2x,5),(8,x)|=|(6,-2),(7,3)| , write the value of x.

    Text Solution

    |

  8. The area of a triangle with vertices (-3,0),(3,0) and (0,k) is 9 sq. u...

    Text Solution

    |

  9. If A,B and C are angles of a triangle, then the determinant: {:|(-1,...

    Text Solution

    |

  10. If determinant A is of order 2xx2 and |A|=3, then the value of |2A| is

    Text Solution

    |

  11. Write the value {:|(x,x+1),(x-1,x)|

    Text Solution

    |

  12. If matric A = {:|(3-2x,x+1),(2,4)| is singular, then x is equal to

    Text Solution

    |

  13. The value of x from the equation {:|(x,2,3),(4,x,1),(x,2,5)|=0 is

    Text Solution

    |

  14. If A is a square matrix of order 3 such that |adjA|=16, then |A| is

    Text Solution

    |

  15. If {:|(2,3),(4,5)| = |(x,3),(2x,5)|, then the value of 'x' is ………..

    Text Solution

    |

  16. The cofactor of a13 in {:|(2,-3,5),(6,0,4),(1,5,-7)| is

    Text Solution

    |

  17. If A= diag (4, 2, 1) then det. A is equal to :

    Text Solution

    |

  18. If a, b, c, are in A.P, then the determinant |[x+2,x+3,x+2a],[x+3,x+4,...

    Text Solution

    |

  19. If a1,a2,a3,……………….. are in A.P., then the value of: {:|(a1,a2,1),(a...

    Text Solution

    |

  20. The system of linear equations: 3x+y-z=2,x-z=1 and 2x+2y+az=5 has un...

    Text Solution

    |