Home
Class 11
MATHS
If A=[(0,1),(1,0)] then A^(2004)=...

If `A=[(0,1),(1,0)]` then `A^(2004)=`

A

I

B

0

C

A

D

`A^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise DETERMINANTS- EXERCISE - I|15 Videos

  • MATRICES

    AAKASH SERIES|Exercise DETERMINANTS- EXERCISE - II|52 Videos

  • MATRICES

    AAKASH SERIES|Exercise ALGEBRA OF MATRICES - EXERCISE - II|34 Videos

  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

Similar Questions

Explore conceptually related problems

If A=[(0,1),(1,0)] then A^(4)=

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

If A=[(0,1),(1,0)], B=[(2,0),(0,1)] then (AB)^(T)=

If A=[(1,0,0),(0,2,1),(1,0,3)] then (A-I)(A-2I)(A-3I)=

If A=[(1,0,0),(1,0,1),(0,1,0)] Then tra(A)

If A=[(0,-1),(1,0)],B=[(0,i),(i,0)] then

If A=[(0,-1),(1,0)]B=[(0,i),(i,0)]C=[(i,0),(0,-i)] then

If A=[(0,1,-2),(-1,0,3),(2,-3,0)] then A+A^(T)=

If A=[(a,b),(c,d)],I=[(1,0),(0,1)] then A^(2)-(a+d)A=

If A=[{:(1,0),(0,1):}] , find A^(2) .

AAKASH SERIES-MATRICES -ALGEBRA OF MATRICES -PRACTICE EXERCISE
  1. If A=((x,0,0),(0,x,0),(0,0,x)) then A^(n)=(ninN)

    Text Solution

    |

  2. If A is a symmetric matrix and n epsilon N, then A^(n) is

    Text Solution

    |

  3. If A=[(0,1),(1,0)] then A^(2004)=

    Text Solution

    |

  4. If A=[(1,3),(3,4)] and A^(2)-kA-5I(2)=O then k=

    Text Solution

    |

  5. If the matrix A=((1,-1),(-1,1)) then A^(n+1)=

    Text Solution

    |

  6. [(2,-1),(3,-2)]^(n)=[(1,0),(0,1)] if n is

    Text Solution

    |

  7. If A=[(1,1),(1,1)] and ninN then A^(n)=

    Text Solution

    |

  8. IF A=[{:(costheta,sintheta),(-sintheta,costheta):}] then show that for...

    Text Solution

    |

  9. If A=[(0,a+1,b-2),(2a-1,0,c-2),(2b+1,2+x,0)] is skew symmetric then a+...

    Text Solution

    |

  10. If A is a skew symmetric matrix and n is an even positive integer then...

    Text Solution

    |

  11. A=[a(ij)](3xx3) is a square matrix so that a(ij)=i^(2)-j^(2) then A is...

    Text Solution

    |

  12. A is a symmetric matrix or skew symmetric matrix. Then A^(2)is

    Text Solution

    |

  13. If A="diag "["1 -1 2"],B=" diag "["2 3 -1"] and 3A+4B = diag [...

    Text Solution

    |

  14. Observe the following lists and matching from List - I to List - II is...

    Text Solution

    |

  15. If A=[(a,b),(b,a)] and A^(2)=[(alpha, beta),(beta, alpha)] then

    Text Solution

    |

  16. If A and B are square matrices of size nxxn such that A^(2)-B^(2)=(A-B...

    Text Solution

    |

  17. Let ((1,2),(3,4)) and B=((a,0),(0,b)), a, b epsilon N. Then

    Text Solution

    |

  18. If A=[(1,0),(1,1)] and I=[(1,0),(0,1)] then which one of the following...

    Text Solution

    |

  19. If A=[(5a,-b),(3,2)] and A. adjA = A.A^(T) then 5a+b is equal to

    Text Solution

    |

  20. Let A be 3xx3 matrix such A^(2)-5A+7I=0 statement 1 : A^(-1)=(1)/(7)(5...

    Text Solution

    |