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

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos

  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 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?

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

    Text Solution

    |

  2. If 2s=a+b+c show that [[a^2,(s-a)^2,(s-a)^2],[(s-b)^2,b^2,(s-b)^2],[...

    Text Solution

    |

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

    Text Solution

    |

  4. Solve the following system of equations by matrix method x+2y+3z=8, 2x...

    Text Solution

    |

  5. What is the number of solution of the following system: 2x+3y=6, x+y...

    Text Solution

    |

  6. What is int(2x^2+3)/((x^2-1)(x^2+4))dx?

    Text Solution

    |

  7. Write the equation of the plane passing through the point(1,0,0),(0,2,...

    Text Solution

    |

  8. Given an example of a function which is both odd and even function.

    Text Solution

    |

  9. If abs(veca+vecb)=abs(veca-vecb)then what is the angle between vecaand...

    Text Solution

    |

  10. Find the principal value of sin^1(sin"(2pi)/3)

    Text Solution

    |

  11. Find d/dx[e^(x)+sinx/1+logx]

    Text Solution

    |

  12. What is the interval in which y=sinx,x"in[0,2pi]is increasing?

    Text Solution

    |

  13. What is the value of int-1^1xabsxdx

    Text Solution

    |

  14. If cos^-1x+cos^-1y+cos^-1z=pi, prove that x^2+y^2+z^2+2xyz=1.

    Text Solution

    |

  15. Find the domain of the functionf(x)=sqrt(log(12/(x^2-x))).

    Text Solution

    |

  16. Solve the pair of these equationsx+y=10,3x+y=12,

    Text Solution

    |

  17. Show that sin^(-1)(1/sqrt(10))+cos^(-1)(2/sqrt5)=pi/4.

    Text Solution

    |

  18. If a relation R:AtoAis an equivalence relation then prove that R^-1:A ...

    Text Solution

    |

  19. Verify that [AB]^T = B^T A^T whereA=[[1,2,3],[3,-2,1]],B=[[1,2],[2,0],...

    Text Solution

    |

  20. Verify that [AB]^T = B^T A^T whereA=[[1,2,3],[3,-2,1]],B=[[1,2],[2,0],...

    Text Solution

    |