Home
Class 12
MATHS
Verify A(adjA)=(adjA) A=|A| I in followi...

Verify A(adjA)=(adjA) A=|A| I in following examples (3) and (4)
`[{:(1,-1,2),(3,0,-2),(1,0,3):}]`

Text Solution

Verified by Experts

The correct Answer is:
11 I
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Exercise 4.6|16 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE - 4|20 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Exercise 4.4|7 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 5 (Section-D)|4 Videos

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-D)|2 Videos

Similar Questions

Explore conceptually related problems

Verify A(adjA)=(adjA) A=|A| I in following examples (3) and (4) [{:(2,3),(-4,-6):}]

Following points lies in which octants ? (-2,1,3),(-3,-4,0),(1,-2,3)

Find A^(2)-5A+6I , if A=[{:(2,0,1),(2,1,3),(1,-1,0):}] .

On using elementary row operation R_(1)toR_(1)-3R_(2) in the following matrix equation : [{:(4,2),(3,3):}]=[{:(1,2),(0,3):}]*[{:(2,0),(1,1):}]

Find the inverse of each of the following matrices [{:(2,0,-1),(5,1,0),(0,1,3):}]

Verify that A^(2)=I when A=[{:(0,1,-1),(4,-3,4),(3,-3,4):}] .

Find the inverse of each of the following matrices (if it exits) given in example number 5 to 11 [{:(1,2,3),(0,2,4),(0,0,5):}]

Find the inverse of each of the following matrices (if it exits) given in example number 5 to 11 [{:(1,0,0),(3,3,0),(5,2,-1):}]

KUMAR PRAKASHAN-DETERMINANTS -Exercise 4.5
  1. Find adjoint of each of the matrices in Exercises 1 and 2 [{:(1,2),(...

    Text Solution

    |

  2. Find adjoint of each of the matrices in Exercises 1 and 2 [{:(1,-1,2...

    Text Solution

    |

  3. Verify A(adjA)=(adjA) A=|A| I in following examples (3) and (4) [{:(...

    Text Solution

    |

  4. Verify A(adjA)=(adjA) A=|A| I in following examples (3) and (4) [{:...

    Text Solution

    |

  5. Find the inverse of each of the matrices (if it exists ) {:[( 2,-2),...

    Text Solution

    |

  6. Find the inverse of each of the matrices (if it exists ) {:[( 2,-2),...

    Text Solution

    |

  7. Find the inverse of each of the following matrices (if it exits) given...

    Text Solution

    |

  8. Find the inverse of each of the following matrices (if it exits) given...

    Text Solution

    |

  9. Find the inverse of each of the following matrices (if it exits) given...

    Text Solution

    |

  10. Find the inverse of each of the following matrices (if it exits) given...

    Text Solution

    |

  11. Find the inverse of each of the following matrices (if it exits) given...

    Text Solution

    |

  12. Let A=[{:(3,7),(2,5):}] and B=[{:(6,8),(7,9):}] Verify that (AB)^(-1)=...

    Text Solution

    |

  13. If A=[{:(3,1),(-1,2):}] show that A^2-5A+7I=O. Hence find A^(-1)

    Text Solution

    |

  14. For the matrix A=[{:(3,2),(1,1):}] , find the numbers a and b such tha...

    Text Solution

    |

  15. For the matrix A=[{:(1,1,1),(1,2,-3),(2,-1,3):}] Show that A^3-6A^2+5A...

    Text Solution

    |

  16. If A=[{:(2,-1,1),(-1,2,-1),(1,-1,2):}] Verify the result A^3-6A^2+9A-4...

    Text Solution

    |

  17. Let A be a nonsingular square matrix of order 3xx3.Then |adj A| is equ...

    Text Solution

    |

  18. If A is an invertible matrix of order 2, then det (A^(-1)) is equal to...

    Text Solution

    |