Home
Class 12
MATHS
If A=[{:(1,-1,1),(0,2,-3),(2,1,0):}] and...

If `A=[{:(1,-1,1),(0,2,-3),(2,1,0):}]` and `B=(adjA)` and `C=5A`, then find the value of `(|adjB|)/(|C |)`

A

`25`

B

`2`

C

`1`

D

`5`

Text Solution

Verified by Experts

The correct Answer is:
C
`(c )` `(|adjB|)/(|C |)=(|adj(adjA)|)/(|5A|)=(|A|^((3-1)^(2)))/(5^(3)|A|)=(|A|^(3))/(125)`
Now, `|A|=5`
`:. (|adjB|)/(|C |)=1`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    CENGAGE|Exercise Multiple Correct Answer|7 Videos

  • MATRICES

    CENGAGE|Exercise Solved Examples And Exercises|165 Videos

  • MATRICES

    CENGAGE|Exercise JEE Advanced Previous Year|26 Videos

  • MATHMETICAL REASONING

    CENGAGE|Exercise JEE Previous Year|10 Videos

  • METHODS OF DIFFERENTIATION

    CENGAGE|Exercise Single Correct Answer Type|46 Videos

Similar Questions

Explore conceptually related problems

" If "A=[[1,-1,1],[0,2,-3],[2,1,0]]" and "B=(adj A)" and "C=5A" ,then find the value of "(|adj B)/(|C|)

If A = [{:(1,1,2),(1,3,4),(1,-1,3):}] , B = adj A and C = 3A then (|adjB|)/(|C |) is equal to

If A=[(1,3),(4,2)],B=[(4,1),(-6,3)] and C=[(1,3),(0,-5)] , then find A+B+C ?

If matrix [{:(0,a,3),(2,b,-1),(c,1,0):}] is skew-symmetric matrix, then find the values of a,b and c,

If A=[[1, -1, 2], [3, 0, -2], [1, 0, 3]] , then (adjA)A=

If A=[[1,-1,11,2,01,3,0]] then the value of |adjA|

If A = [{:(2, -3), (4, 1):}], B = [{:(2, 3), (5, 0):}]" and " C = [{:(-1, 2),(0, 5):}] then find A(B + C).

CENGAGE-MATRICES-Single correct Answer
  1. The number of 2xx2 matrices A, that are there with the elements as rea...

    Text Solution

    |

  2. If the orthogonal square matrices A and B of same size satisfy detA+de...

    Text Solution

    |

  3. If A=[{:(costheta,sintheta),(sintheta,-costheta):}], B=[{:(1,0),(-1,1)...

    Text Solution

    |

  4. Let A be a 3xx3 matrix given by A=(a(ij))(3xx3). If for every column v...

    Text Solution

    |

  5. Suppose A and B are two non singular matrices such that B != I, A^6 = ...

    Text Solution

    |

  6. Let A be a 2xx3 matrix, whereas B be a 3xx2 amtrix. If det.(AB)=4, the...

    Text Solution

    |

  7. Let A be a square matrix of order 3 so that sum of elements of each ro...

    Text Solution

    |

  8. A and B be 3xx3 matrices such that AB+A=0, then

    Text Solution

    |

  9. If (A+B)^(2)=A^(2)+B^(2) and |A| ne 0 , then |B|= (where A and B are m...

    Text Solution

    |

  10. If A is a square matrix of order 3 such that |A|=5, then |Adj(4A)|=

    Text Solution

    |

  11. If A and B are two non singular matrices and both are symmetric and co...

    Text Solution

    |

  12. If A is a square matrix of order 3 such that |A|=2, then |(adjA^(-1))^...

    Text Solution

    |

  13. Let matrix A=[{:(x,y,-z),(1,2,3),(1,1,2):}] , where x,y,z in N. If |ad...

    Text Solution

    |

  14. A be a square matrix of order 2 with |A| ne 0 such that |A+|A|adj(A)|=...

    Text Solution

    |

  15. If A is a skew symmetric matrix, then B=(I-A)(I+A)^(-1) is (where I is...

    Text Solution

    |

  16. If A=[{:(3,-3,4),(2,-3,4),(0,-1,1):}] , then the trace of the matrix A...

    Text Solution

    |

  17. If A=[{:(1,-1,1),(0,2,-3),(2,1,0):}] and B=(adjA) and C=5A, then find ...

    Text Solution

    |

  18. Let A and B be two non-singular square matrices such that B ne I and A...

    Text Solution

    |

  19. If A is an idempotent matrix satisfying (I-0.4A)^(-1)=I-alphaA where I...

    Text Solution

    |

  20. If A and B are two non-singular matrices which commute, then (A(A+B)^...

    Text Solution

    |