Home
Class 9
MATHS
If A=(1)/(sqrt(3)){:[(-8,3),(3,8)]:}," t...

If `A=(1)/(sqrt(3)){:[(-8,3),(3,8)]:}," then "A^(5)` =

A

I

B

`{:[(0,0),(0,0)]:}`

C

`{:[(1,1),(1,1)]:}`

D

scalar multiple of A

Text Solution

Verified by Experts

The correct Answer is:
D
(i) Evaluate `A^(2)`.
(ii) Find `A^(2)andA^(2)`, and induce it to find `A^(5)`.
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 3|20 Videos

  • MATRICES

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION LEVEL 1|30 Videos

  • LOGARITHMS

    PEARSON IIT JEE FOUNDATION|Exercise Level 3 MCQ|15 Videos

  • NUMBER SYSTEMS

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|15 Videos

Similar Questions

Explore conceptually related problems

(sqrt(8)-sqrt(3))(-4+sqrt(3))

(3)/(sqrt(8))+(1)/(sqrt(2))

(iii) (8+sqrt(3))(2+sqrt(3))

(3)/(sqrt(8)-sqrt(2)+sqrt(5))

If A=[(3,1),(-1,2)] then A^2= (A) [(8,-5),(-5,3)] (B) [(8,-5),(5,3)] (C) [(8,-5),(-5,-3)] (D) [(8,5),(-5,3)]

(x^(3))/(sqrt(1-x^(8)))

1(5)/(6)+3(3)/(8)

PEARSON IIT JEE FOUNDATION-MATRICES-LEVEL 2
  1. If A={:[(2,-3),(1,2)]:}andB={:[(3,2),(7,-1)]:}, find matrix C such tha...

    Text Solution

    |

  2. If A={:((3,1),(-4,5)):},B={:((-3,1),(4,-5)):}andC={:((2,1),(-1,3)):}, ...

    Text Solution

    |

  3. If A={:[(0,-1),(1,0)]:}andB={:[(-1,0),(3,2)]:}, then AB^(2) =

    Text Solution

    |

  4. If X={:[(1,2),(3,2)]:}andX^(2)-3X=

    Text Solution

    |

  5. If A={:[(-3,-2),(-1,3)]:}, then A^(2)-11I=

    Text Solution

    |

  6. If A={:[(a-3,-5),(c+1,b-2)]:} is a skew =-symmetric matrix, then a+b-c...

    Text Solution

    |

  7. If A={:[(0,y),(y,0)]:} which of the following is true ?

    Text Solution

    |

  8. If {:[(4,-5),(3,6)]:}+2X={:[(8,-1),(-7,2)]:}, then X^(T) =

    Text Solution

    |

  9. If A={:[(p,2),(-4,-5)]:},B={:[(q,r-s),(r,-5)]:}" and A=B. Find"{:[(p,q...

    Text Solution

    |

  10. If {:[(3,7)]:}{:[(1,-2),(-2,x)]:}{:[(-1),(2)]:}=[13], then the value o...

    Text Solution

    |

  11. If A={:[(0,x),(1,0)]:}, such that A^(2)=4I, then x is

    Text Solution

    |

  12. If A=(1)/(sqrt(3)){:[(-8,3),(3,8)]:}," then "A^(5) =

    Text Solution

    |

  13. Which of the following is square root of {:[(16,4),(3,13)]:} ?

    Text Solution

    |

  14. If 5A-2B={:[(11,2,-5),(4,-3,6)]:}and-2A+B={:[(4,-2,4),(-5,3,1)]:}, the...

    Text Solution

    |

  15. If {:[(4,5)]:}{:[(1,6),(x,3)]:}{:[(-2),(3)]:}=[9], then the value of x...

    Text Solution

    |

  16. If A={:[(5,-6),(2,4)]:}andB=A^(T)," then "A^(T)-B^(T) is .

    Text Solution

    |

  17. If A={:[(8),(-1),(-7)]:}andB={:[(2,5,-6)]:}," then find "3A+B^(T).

    Text Solution

    |

  18. If A={:[(7,0),(0,7)]:}," then find "A^(n)(ninN) .

    Text Solution

    |

  19. If A={:[(p,0),(0,p)]:}" then "A^(n+1) is .

    Text Solution

    |

  20. If A={:[(5,6),(7,8)]:}," then "(A+A^(T))/(2) is .

    Text Solution

    |