Home
Class 12
MATHS
Let A=[3 7 2 5]and B=[6 8 7 9]. Verify t...

Let `A=[3 7 2 5]`and `B=[6 8 7 9]`. Verify that `(A B)^(-1)=B^(-1)A^(-1)`.

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MODERN PUBLICATION|Exercise NCERT FILE (Exercise 4.6)|16 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Miscellaneous Exercise on Chapter 4|19 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise NCERT FILE (Exercise 4.4)|7 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (9)|12 Videos

Similar Questions

Explore conceptually related problems

Let A=[[3,72,5]] and B=[[6,87,9]]. Verify that (AB)^(-1)=B^(-1)A^(-1)

Find the inverse of each of the matrices given below : If A=[(3,2),(7,5)] and B=[(6,7),(8,9)], " verify that " (AB)^(-1)= B^(-1) A^(-1) .

If A=[(1),(-4),(3)],B=[-6" "7" "10] , verify that : (AB)'=B'A'

" If "A=[[1,2],[3,4],[5,6]],B=[[2,3,7],[1,0,3]]" verify that "(AB)^(T)=B^(T)A^(T)

Let A=[{:(3," "4),(-2," "0),(7,-5):}]" and "B=[{:(2,-3),(5," "6),(-1," "8):}]. Verify that (A+B)'=A'+B'.

Let U={1,2,3,4,5,6,7,8,9}A={1,2,4,6,8} and B={2,3,5,7} Verify that (i)(A uu B)'=A'nn B'ii)(A nn B)'=A'uu B'

If A=[[1,4],[0,5],[6,7]] and B=[[2,3,-1],[1,0,-7]] , verify that (AB)\'=B\'A\'

if U = {1,2,3,4,5,6,7,8,9}, A = {2,4,6,8} and B ={2,3,5,7} , verify that : (i) (A cup B) '=(A'cap B') (ii) (A cap B) '=(Acup B')

If U={1,2,3,...9},A={2,4,6,8} and B={2,3,5,7} then verify that (A uu B)'=A'nn B'

Let U={1,2,3,4,5,6,7,8,9},A={2,4,6,8}andB={2,3,5,7} Verify that: (A uu B)'=A'nn B'(ii)(A nn B)'=A'uu B'

MODERN PUBLICATION-DETERMINANTS-NCERT FILE (Exercise 4.5)
  1. Find the adjoint of each of the matrices in questions 1 and 2. [{:(1...

    Text Solution

    |

  2. Find the adjoint of the matrices [{:(1,-1,2),(2,3,5),(-2,0,1):}]

    Text Solution

    |

  3. Varify A (adjA)=(adjA)A=|A| I in questions 3 and 4. [{:(2,3),(-4,-...

    Text Solution

    |

  4. Find the adjoint of the given matrix and verify in ach case that A.(ad...

    Text Solution

    |

  5. Find the inverse the matrix (if it exists)given in[2-2 4 3]

    Text Solution

    |

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

    Text Solution

    |

  7. Find the inverse the matrix (if it exists)given in[1 2 3 0 2 4 0 0 5]

    Text Solution

    |

  8. Find the inverse the matrix (if it exists)given in [1 0 0 3 3 0 5 2-1]

    Text Solution

    |

  9. Find the inverse the matrix (if it exists) given in[2 1 3 4-1 0-7 2 1]

    Text Solution

    |

  10. Find the inverse the matrix (if it exists)given in[1-1 2 0 2-3 3-2 4]

    Text Solution

    |

  11. Find the inverse of each of the matrices (if it exists) given in [{:(1...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. Solve system of linear equations, using matrix method, x y" "+" "2...

    Text Solution

    |

  15. For the matrix A=|(1,1,1),(1,2,-3),(2,-1,3)|, then that A^3-6A^2+5A+11...

    Text Solution

    |

  16. If A=[2-1 1-1 2-1 1-1 2] . Verify that A^3-6A^2+9A-4I=O and hence find...

    Text Solution

    |

  17. Let A be a non-singular square matrix of order 3 xx3. Then |adj A| is ...

    Text Solution

    |

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

    Text Solution

    |