Home
Class 12
MATHS
If A=[{:(3,-4),(1,-1):}] then show that ...

If `A=[{:(3,-4),(1,-1):}]` then show that `A^(k)=[{:(1+2k,-4k),(k,1-2k):}],k epsilon N`

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

Given that, A=[{:(4,0),(2k,5k):}] and B=[{:(k,0),(3,-1):}] such that AB=BA . From an equation in k and show that it reduces to 2k^(2)+17k-12=0

If sqrt(1-x^4) + sqrt(1-y^4) =k(x^2 - y^2) then show that dy/dx = {x sqrt(1-y^4)}/{y sqrt(1-x^4)}

If [[1,3],[4,5]]=[[7,11],[k,23]] then write the value of k.

If [[2,4],[k,6]] = 0 , what is the value of k ?

Find the value of k if the points (k+1,1),(2k+1,3) and (2k+2,2k) are collinear.

If [[a_(1),b_(1)],[c_(1),d_(1)]] = k[[a_(1),c_(1)],[b_(1),d_(1)]] then what is the value of k ?

For what value of k lines (x + 2)/(-k) = (y - 3)/(2) = (z + 4)/(k) and (x - 4)/(5) = (y - 3)/(k) = (z + 1)/(2) are perpendicular to each other?

SHARAM PUBLICATION-MATRICES-EXAMPLE
  1. Find the inverse of the matrix [[0,0,2],[0,2,0],[2,0,0]].

    Text Solution

    |

  2. If A =[[1,-2,2],[3,1,-1]] B[[2,4],[1,2],[3,-1]] "verify" "that" (AB)^...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |