Home
Class 12
MATHS
If A=[[0,1],[1,0]], then A^4 =...

If `A=[[0,1],[1,0]]`, then `A^4 =`

A

`[[1,0],[0,1]]`

B

`[[1,1],[0,0]]`

C

`[[0,0],[1,1]]`

D

`[[0,1],[1,0]]`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos
  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

If A= [(0,1),(1,0)] , then A^(2) equal to______

If A=[[1,(1)/(2)], [0,1]] then A^(64)=

If A+B=[[1,0],[1,1]] and A-2 B=[[-1,1],[0,1]] then A=

If A = [[1,0,0],[0,1,0],[0,0,1]] , then A^2+2 A=

If [(0,1),(1,0)] then A^(2) is equal to ______

If I= [[1,0],[0,1]] and J= [[0,1],[-1,0]] and B = [[cos theta, sin theta],[-sin theta, cos theta]] , then B=

If A= [[0,1,0],[1,0,0],[0,0,1]] , then A^(2n)= where n is a positive integer.

If A= [[2,1,0],[0,2,1],[1, 0,2]] then |adj A|=

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If A=[[1,-2],[x,y]] and A A^prime=I then x=

    Text Solution

    |

  2. If A= [[0,1,0],[1,0,0],[0,0,1]], then A^(2n)= where n is a positive in...

    Text Solution

    |

  3. If A=[[0,1],[1,0]], then A^4 =

    Text Solution

    |

  4. The order of [[x,y,z]][[a,h,g],[h,b,f],[g,f,c]][[x],[y],[z]] is

    Text Solution

    |

  5. If [[1,2,3]].B=(3,4), then the oredr of the matrix is

    Text Solution

    |

  6. If A= [[0,3],[-3,0]] and B=[[0,4],[-4,0]] then A+B is a

    Text Solution

    |

  7. Let A=[[0,1,4],[-1,0,-5],[-4,5,0]] then A^4 is a

    Text Solution

    |

  8. If A= [[0,-2,3],[2,0,-1],[-3,1,0]] then A^5 is

    Text Solution

    |

  9. If A=[[3,-4],[2,3]] then A-A^ prime is

    Text Solution

    |

  10. If A= B+C such that B is a symmetric matrix and C is a skew - symmet...

    Text Solution

    |

  11. Let A and B be 3xx3 matrices such that A' = - A , B ' = B , then matri...

    Text Solution

    |

  12. If A and B are non singular square matrices of same order, then which ...

    Text Solution

    |

  13. If A,B are square matrices of order 3 , then :

    Text Solution

    |

  14. If A=[[a,b],[c,d]], then adj(adj A)=

    Text Solution

    |

  15. If A=[[4,-1],[-1,3]], then A . adj A=

    Text Solution

    |

  16. Let A be a square matrix with real entries, such that A^97=A^-1 . Then

    Text Solution

    |

  17. If ((1,-tan theta ),(tan theta,1))((1,tan theta ),(-tan theta ,1))^(-1...

    Text Solution

    |

  18. If A = [(2,3),(1,-2)] and A^(-1) = alpha A , then the value of alpha...

    Text Solution

    |

  19. For a square matrix A and a non singular matrix B of the same order ,...

    Text Solution

    |

  20. If A and B are two square matrices of the same order such that AB=B an...

    Text Solution

    |