Home
Class 9
MATHS
If A={:[(-3,-2),(-1,3)]:}, then A^(2)-11...

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

A

A

B

I

C

`A^(2)`

D

O

Text Solution

Verified by Experts

The correct Answer is:
D

(i) `I={:[(1,0),(0,1)]:}`.
(ii) Find `AxxA`.
(iii) Subtract `{:((11,0),(0,11)):}" from "(AxxA)`.
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

If A=[(3,-3,4),(2,-3,4),(0,-1,1)] , then A^(-1)=

If A=[(-2,3),(1,1)] then |A^(-1)| =?

If A=[(-2,3),(-1,1)] then A^(3) is equal to

If A=[(3,-3,4),(2,-3,4),(0,-1,1)] , then :

If A+I={:[(2,2,3),(3,-1,1),(4,2,2)]:} then show that A^(3)-23A-40I=0

If A=[(4,2),(-1,1)] , show that (A-2 I) A-3 I) =0

if A[{:(1,3,2),(2,0,3),(1,-1,1):}], then find A^(3)-2A^(2)+A-I_(3).

If A=[(1,2),(3,-5)] then A^-1 is A. [(-5,-2),(-3,1)] B. [(5/11,2/11),(3/11, - 1/11)] C. [(-5/11,-2/11),(-3/11, -1/11)] D. [(5,2),(3,-1)]

If A=[(2,-1,1),(-2,3,-2),(-4,4,-3)] then the value of A+A^2+A^3+...+A^(2019) is

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

    |