Home
Class 12
MATHS
If A=[{:(3,1),(-1,2):}] then prove that ...

If `A=[{:(3,1),(-1,2):}]` then prove that `A^(2)-5A+7I=O`

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    SHARAM PUBLICATION|Exercise EXAMPLE|37 Videos

  • MODEL QUESTION PAPER -1

    SHARAM PUBLICATION|Exercise EXERCISE|41 Videos

Similar Questions

Explore conceptually related problems

If A=[{:(2,3),(1,2):}] , then prove that A^(3)-4A^(2)+A=O .

If A=[{:(1,2,3),(3,-2,1),(4,2,1):}] then show that A^(3)-23A-40I=O

If A=[{:(1,0),(-1,7):}] , thenfind k such that A^(2)-8A+kI=O .

If A=[{:(1,0,2),(0,2,1),(2,0,3):}] , then prove that A is a root of the polynomial f(x)=x^(3)-6x^(2)+7x+2 .

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

SHARAM PUBLICATION-MATRICES-EXAMPLE
  1. If A=[{:(3,-4),(1,-1):}] then show that A^(k)=[{:(1+2k,-4k),(k,1-2k):}...

    Text Solution

    |

  2. [[1,-2],[3,2]][[x,2],[1,y]]=[[-3,4],[-1,4]]Find x and y.

    Text Solution

    |

  3. If A=[{:(3,1),(-1,2):}] then prove that A^(2)-5A+7I=O

    Text Solution

    |

  4. Find the inverse of the matrix [{:(2,5),(1,3):}]

    Text Solution

    |

  5. Find x, so that [{:(1,x,1):}][{:(1,3,2),(0,5,1),(0,3,2):}][{:(1),(1),(...

    Text Solution

    |

  6. Can the inverse of the following matrix be found? [[0,0,2],[3,6,0],[2,...

    Text Solution

    |

  7. Construct the matrix [a(ij)](2xx3) where a(ij)=|i-j|.

    Text Solution

    |

  8. If A=[[1,1],[2,2]] and B=[[2,1],[2,1]]find AB andBA.

    Text Solution

    |

  9. A and Bare square matrices of order n.Their product is commutative:Pro...

    Text Solution

    |

  10. Find x,y if[[3,2],[7,x]][[5,-2],[-7,y]]=[[1,0],[0,1]].

    Text Solution

    |

  11. If [[4x,x-2u],[2u+v,3v-2w]]=[[8,6],[3,5]] find x,u,v,w.

    Text Solution

    |

  12. Construct a matrix [a(ij)] of order 2xx2where a(ij)=i+2j.

    Text Solution

    |

  13. Find the adjoint of the matrix [[1,1,2],[0,1,2],[1,2,1]].

    Text Solution

    |

  14. Find the matrix which when added to [[2,-3],[-4,7]] gives [[4,-1],[3,2...

    Text Solution

    |

  15. IF [[x1,x2],[y1,y2]]-[[2,3],[0,1]]=[[3,5],[1,2]] then determine x1,x2,...

    Text Solution

    |

  16. Verify that A=[[a,b],[c,d]] satisfies the equation A^2-(a+d)A+(ad-bc...

    Text Solution

    |

  17. Using elementary transformation find the inverse of the matrix [[1,3],...

    Text Solution

    |

  18. Using elementary operation,find the inverse of [[4,5],[3,4]].

    Text Solution

    |

  19. If A=[[1,-2,1],[0,-1,1],[2,0,-3]]then find A^(-1) and hence solve the ...

    Text Solution

    |

  20. Find the value of x,y, and z if A=[[0,2y,z],[x,y,-z],[x,-y,z]] satisfi...

    Text Solution

    |