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

  • SAMPLE PAPER 2014

    MODERN PUBLICATION|Exercise EXERCISE|35 Videos

  • SAMPLE PAPER 2016

    MODERN PUBLICATION|Exercise EXERCISE|48 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?

MODERN PUBLICATION-SAMPLE PAPER 2015-EXERCISE
  1. Prove that the measure of the angle between two main diagonals of a cu...

    Text Solution

    |

  2. Find the equation of the plane through the points (1, 2, -3), (2,3, -4...

    Text Solution

    |

  3. Find the perpendicular distance of the point (-1,3,9) from the line (x...

    Text Solution

    |

  4. Solve the following LPP graphically : Minimize Z = 6x(1)+7x(2) Sub...

    Text Solution

    |

  5. Find the feasible region the the following system of equations 2y-xge0...

    Text Solution

    |

  6. Solve the following equations by cramer's rule : 7x+y+1 = 0, x+13y+5 =...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. How many four digits even numbers with distict digits can be formed ou...

    Text Solution

    |

  10. In how many ways can 10 boys and 10 girls sit in a row so that no two ...

    Text Solution

    |

  11. Find the fifth term in the expansion of (6x-a^3/x)^10

    Text Solution

    |

  12. Two different digits are selected at random from the digits 1 through ...

    Text Solution

    |

  13. Suppose that the probability that your alarm goes off in the morning i...

    Text Solution

    |

  14. Find the tangent to the curve y = cos (x + y), 0 le x le 2pi which is ...

    Text Solution

    |

  15. Evaluate intfrac[dx][cosx(1+2sinx)]

    Text Solution

    |

  16. If vec a = 2 hat i + hat j, vec b = - hat i + 2 hat k, vec c = 2 hat i...

    Text Solution

    |

  17. A sphere of constant radius k passes through the origin and meets the ...

    Text Solution

    |

  18. Maximize z=-10x+2y Subject to -x+yge-1 ,x+yle6 ,yle5, x,yge0

    Text Solution

    |

  19. Show that C1^2 + 2C2^2 + 3C3^2 + ... + "^nCn^2 = ((2n-1!))/{(n-1)!}^2

    Text Solution

    |

  20. From a box containing 32 bulbs out of which 8 are defective 4 bulbs ar...

    Text Solution

    |