Home
Class 12
MATHS
if A =[(2,-2),(-2,2)]," then " A^(n)=2^(...

if `A =[(2,-2),(-2,2)]," then " A^(n)=2^(k)A`, where k=

A

`2^(n-1)`

B

n+1

C

n-1

D

`2(n-1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • K-CET-MATHEMATICS - 2014

    SUNSTAR PUBLICATION|Exercise MCQs|59 Videos
  • K-CET-MATHEMATICS -2019

    SUNSTAR PUBLICATION|Exercise MCQs|58 Videos

Similar Questions

Explore conceptually related problems

If A=[(2,-2),(-2,2)], then A^n=2^kA , where k =

If A=[(1,-3),(2,k)] and A^(2)-4A+10I=A , then k =

Find (dy)/(dx)," if "sin^(2)x + cos^(2)y= k , where k is constant.

If A=[[3,-2],[1,2]] and A^2+k A+8 I=0 , then k=

Let p=[(3,-1,-2),(2,0,alpha),(3,-5,0)], where alpha in RR. Suppose Q=[q_(ij)] is a matrix such that PQ=kI, where k in RR, k != 0 and I is the identity matrix of order 3. If q_23=-k/8 and det(Q)=k^2/2, then

For what value of k are the points (k ,2-2k)(-k+1,2k)a n d(-4-k,6-2k) are collinear?

For what value of k are (k, 2 2), (-k + 1, 2k), and (4-k, 6-2k) collinear?

Let g(x)=sqrt(x-2k),AA2klt=x<2(k+1), where k in integer. Check whether g(x) is periodic or not.

If P (2,2) is equidistant from A (-2, k) and B (-2k,-3), find k. Also find the length AP.

The random variable X has a probability distribution P(X) of the following form, where K is some number P(X)={{:(,K,"if x =0"),(,2K,"if x=1 "),(,3K,"if x=2 "),(,0,"otherwise"):} (a) Determine the value of K. (b) Find P(X lt 2) .

SUNSTAR PUBLICATION-K-CET-MATHEMATICS -2018-MULTIPLE CHOICE QUESTIONS
  1. If sin^(-1)x+cos^(-1)y=(2pi)/5," then "cos^(-1)x+sin^(-1)y is

    Text Solution

    |

  2. The value of the expression tan(1/2"cos"^(-1)2/sqrt5)is

    Text Solution

    |

  3. if A =[(2,-2),(-2,2)]," then " A^(n)=2^(k)A, where k=

    Text Solution

    |

  4. If [(1,1),(-1,1)][(x),(y)]=[(2),(4)],then the values of x and y respec...

    Text Solution

    |

  5. If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)], then verify tha...

    Text Solution

    |

  6. If x,y,z in R, then the value of determinant |((5^(x)+5^(-x))^(2) , ...

    Text Solution

    |

  7. The value of determinant |(a-b ,b+c,a),(b-a,c+a,b),(c-a,a+b,c)| is

    Text Solution

    |

  8. If (x(1),y(1)),(x(2),y(2)) and (x(3),y(3)) are the vertices of a trian...

    Text Solution

    |

  9. Let A be a square matrix of order 3xx3" then "|5A|=

    Text Solution

    |

  10. If f(x)={((sqrt(1+kx)-sqrt(1-kx))/x),((2x+1)/(x-1)):} if -1lexlt0 is c...

    Text Solution

    |

  11. If cosy=xcos(a+y)" with "cosa!= +-1, then dy/dx is equal to

    Text Solution

    |

  12. If f(x)=|cosx-sinx|," then "f^(1)(pi/6) is equal to

    Text Solution

    |

  13. If y=sqrt(x+sqrt(x+sqrt(x+............oo))), m then dy/dx=

    Text Solution

    |

  14. if f(x)={((log(e)x)/(x-1),,,x!=1),(k,,, x=1):} is continuous at x=1, t...

    Text Solution

    |

  15. Approximate change in the volume V of a cube of side x metres caused b...

    Text Solution

    |

  16. The maximum value of (1/x)^(x) is

    Text Solution

    |

  17. f(x)=x^(x) has a stationary point at :

    Text Solution

    |

  18. The maximum area of a rectangle inscribed in the circle (x+1)^(2)+(y-3...

    Text Solution

    |

  19. int1/(1+e^(x))dx is equal to

    Text Solution

    |

  20. int1/(sqrt(3-6x-9x^(2)))dx is equal to

    Text Solution

    |