Home
Class 12
MATHS
If P=[[1,alpha,3],[1,3,3],[2,4,4]] is th...

If `P=[[1,alpha,3],[1,3,3],[2,4,4]]` is the adjoint of a `3xx3` matrix A and
`abs(A) = 4,` then `alpha` is equal to

A

11

B

5

C

0

D

4

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

IF P=[(1,alpha,3),(1,3,3),(2,4,4)] is the adjoint of 3xx3 matrix A and |A|=4 , then alpha is equal to :

Find the adjoint of matrix [(2,3),(1,4)]

If A = [[0 , 1, -1],[4, -3, 4],[3, -3, 4]] find the transpose of A matrix

If A is a square matrix of order 3xx3 and abs(A) = 5 then abs (Adj. A) is :

Find the adjoint of the matrix A = [(1,3,3),(1,4,3),(1,3,4)]

Write down the adjoint of the matrix [(2,-1),(4,3)]

Find adjoint of the matrix: [[1,2],[3,4]

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

MODERN PUBLICATION-DETERMINANTS-EXERCISE
  1. The number of values of k which the linear equations 4x+ky+2z=0 kx...

    Text Solution

    |

  2. The number of values of k, for which the system of equations (k""+""...

    Text Solution

    |

  3. If P=[[1,alpha,3],[1,3,3],[2,4,4]] is the adjoint of a 3xx3 matrix A a...

    Text Solution

    |

  4. If {:|(x,x),(1,x)| = |(3,4),(1,2)|. Write the positive value of 'x'.

    Text Solution

    |

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

    Text Solution

    |

  6. If A is a square matrix order 3 such that |adjA|=225, find |A'|.

    Text Solution

    |

  7. Prove that: |[a+b+2c,a,b],[c,b+c+2a,b],[c,a,c+a+2b]|= 2(a+b+c)^3

    Text Solution

    |

  8. Using the properties of determinant, show that :|[a^2+1,ab,ac],[ab,b^2...

    Text Solution

    |

  9. Using Cofactors of elements of third column, evaluate triangle - |[1,x...

    Text Solution

    |

  10. Find the value of k’ if the area of the triangle is 4 sq. units and ve...

    Text Solution

    |

  11. Find the inverse of the matrix A = {:[(a,b),(c,(1+bc)/a)] and show tha...

    Text Solution

    |

  12. Without expanding show that following : |[a,a+b,a+b+c],[2a,3a+2b,4a+3b...

    Text Solution

    |

  13. If A = [[2,-3,5],[3,2,-4],[1,1,-2]] find A^-1. Using A^-1 solve the s...

    Text Solution

    |

  14. Let P = [[3, -1, -2],[2 ,0 ,alpha ],[3, -5, 0]], where alpha in R. Sup...

    Text Solution

    |

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

    Text Solution

    |

  16. Let M and n be two 3xx3 matrices such that MN = NM. Further, If Mne ...

    Text Solution

    |

  17. For 3xx3 martrices M and N, which of the following statement (s) is ...

    Text Solution

    |

  18. If the adjoint of a 3x3 matrix P is (1 4 4) (2 1 7) (1 1 3) , t...

    Text Solution

    |

  19. If A is a matrix of order mxx m such that A^(2) +A + 2I = O, then

    Text Solution

    |

  20. Let a, b, and c be three real numbers satisfying [(a,b,c)][[1,9,7],[...

    Text Solution

    |