Home
Class 12
MATHS
find the adjoint of the matrix A=[(1,2,3...

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

Text Solution

Verified by Experts

if C be the matrix of cofactors of the elements in `|A|,` then
`C=[(C_(11),C_(12),C_(13)),(C_(21),C_(22),C_(23)),(C_(31),C_(32),C_(33))]`
`[{:(|(5,0),(4,3)|,-|(0,0),(2,3)|,|(0,5),(2,4)|),(|(2,3),(4,3)|,|(1,3),(2,3)|,-|(1,2),(2,4)|),(|(2,3),(5,0)|,-|(1,3),(0,0)|,|(1,2),(0,5)|):}]=[(15,0,-10),(6,-3,0),(-15,0,5)]`
`rArr adjA=C'=[(15,6,-15),(0,-3,0),(-10,0,5)]`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 1|9 Videos
  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 2|19 Videos
  • MATHEMATICAL INDUCTION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

Similar Questions

Explore conceptually related problems

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

Find the adjoint of the matrix A = [(-1,-2,-2),(2,1,-2),(2,-2,1)] and hence show that A (AdjA) = |A | I_3

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

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

Find the adjoint of the matrix A = [(4,-6,1),(-1,-1,1),(-4,11,-1)] and verify that A(adj A) = (adj A ) A = |A | I_3

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

Find the adjoint of the matrix A=[[1,2,2],[2,1,2],[2,2,1]] and hence show that A(a d j\ A)=|A|\ I_3 .

ARIHANT MATHS-MATRICES -Exercise (Questions Asked In Previous 13 Years Exam)
  1. find the adjoint of the matrix A=[(1,2,3),(0,5,0),(2,4,3)]

    Text Solution

    |

  2. Let A=[(1,0,0),(0,1,1),(0,-2,4)],I=[(1,0,0),(0,1,0),(0,0,1)] and A^-1=...

    Text Solution

    |

  3. Evluate int 3x^2 dx

    Text Solution

    |

  4. If A=[(1,0),(1,1)] and I=[(1,0),(0,1)] then which one of the following...

    Text Solution

    |

  5. If A^(2)-A+I=O, then A^(-1) is equal to

    Text Solution

    |

  6. Let {:A=[(1,0,0),(2,1,0),(3,2,1)]:}and U1,U2,U3 be column matrices sat...

    Text Solution

    |

  7. Let A = [(1,0,0), (2,1,0), (3,2,1)], and U1, U2 and U3 are columns of ...

    Text Solution

    |

  8. If A= ((1,0,0),(2,1,0),(3,2,1)), U(1), U(2), and U(3) are column matri...

    Text Solution

    |

  9. Let A=[{:(1,2),(3,4):}]and B = [{:(a,0),(0,b):}] where a, b are natura...

    Text Solution

    |

  10. If A and B are square matrices of size nxxn such that A^2-B^2 = (A-B)(...

    Text Solution

    |

  11. Let A= [[5,5alpha,alpha],[0,alpha,5alpha],[0,0,5]] . If |A^2|...

    Text Solution

    |

  12. Let A and B be 3xx3 matrtices of real numbers, where A is symmetric, "...

    Text Solution

    |

  13. Let A be a square matrix all of whose entries are integers. Then wh...

    Text Solution

    |

  14. Let A be a 2xx2 matrix with real entries. Let I be the 2xx2 identi...

    Text Solution

    |

  15. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

    Text Solution

    |

  16. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

    Text Solution

    |

  17. The number of 3xx3 matrices A whose are ether 0 or 1 and for which t...

    Text Solution

    |

  18. Let A be a 2xx2 matrix Statement -1 adj (adjA)=A Statement-2 abs(a...

    Text Solution

    |

  19. The number of 3xx3 matrices a whose entries are either 0 or 1 and for ...

    Text Solution

    |

  20. Let P be an odd prime number and T(p) be the following set of 2xx2 mat...

    Text Solution

    |

  21. Let p be an odd prime number and T(P) be the following set of 2xx2 m...

    Text Solution

    |