Home
Class 12
MATHS
For the matrix A=|(1,1,1),(1,2,-3),(2,-1...

For the matrix `A=|(1,1,1),(1,2,-3),(2,-1,3)|,` then that `A^3-6A^2+5A+11I=0.` find `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

For the matrix A=det[[1,1,11,2,-32,-1,3]], then that A^(3)-6A^(2)+5A+4I=0., find A^(-1)

For the matrix A=[11112-32-13]. Show that A^(3)-6A^(2)+5A+11I_(3)=O. Hence find A^(-1) .

If A= [(1,1,3),(5,2,6),(-2,-1,-3)] then find A^(14)+3A-2I

For the matrix A=[[1,1,11,2,-32,1,3]]*A^(3)-6A^(2)+5A+11I=0. Hence,find

For the matrix A=[{:(,3,2),(,1,1):}] Find a & b so that A^(2)+aA+bI=0 . Hence find A^(-1)

if A[{:(1,3,2),(2,0,3),(1,-1,1):}], then find A^(3)-2A^(2)+A-I_(3).

Find matrix A.A+I_(3)=[[1,3,4-1,1,3-2,-3,1]]

Evaluate |{:(1,2,3),(3,-1,1),(2,3,5):}|

Show that the matrix [{:( 1,1,3),( 5,2,6),( -2,-1,-3):}] is nilpotent matrix of index 3.

(i) Show that the matrix A=[(1,-1,5),(-1,2,1),(5,1,3)] is a symmetric matrix. Show that the matrix A=[(0,1,-1),(-1,0,1),(1,-1,0)] is a skew symmetric matrix

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

    |