Home
Class 11
MATHS
If A=[(0, x),(y, 0)] and A^(3)+A=O then...

If `A=[(0, x),(y, 0)]` and `A^(3)+A=O` then

A

xy = 0

B

`xy=(1)/(2)`

C

`xy=-1`

D

xy = 1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise DETERMINANTS|33 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise INVERSE OF A MATRIX|8 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise MULTIPLE PRODUCT OF TWO VECTORS|21 Videos
  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|40 Videos
  • CHANGE OF AXES

    AAKASH SERIES|Exercise Practice Exercise|29 Videos

Similar Questions

Explore conceptually related problems

If A=((1,-1),(0,1),(2,3)),B=((2,1),(3,0),(0,1)) and 2A-3B+5X=O then X =

If [(4,9),(3,0)]=[(x,y^(2)),(3,0)] then (x,y)=

If [(x,y^(3)),(2,0)]=[(1, 8),(2,0)] then [(x,y),(2,0)]^(-1)=

Find X and Y if, X+Y=[(5,2),(0,9)] and X-Y=[(3,6),(0,-1)] .

The line x-y-2=0, x+y-5=0 and x+3y=6 meet in the common point

The lines x-y-2=0, x+y-4=0 and x+3y=6 meet in the common point

If the lines x+y=0, x-y=0 and 2x+3y-6=0 are the sides of a triangle and (-2, a) is an interior point of the triangle then a lies

The equation of the line passing through the point of intersection of the lines 2x+3y+6=0, 3x-y-13 =0 and parallel to the line 3x-4y+5=0 is

AAKASH SERIES-APPENDICES (REVISION EXERCISE)-ALGEBRA OF MATRICES
  1. If A=(1)/(3)[(1,2,2),(2,1,-2),(x,2,y)] and A A^(T)=I(3) then x+y=

    Text Solution

    |

  2. If A=((cos^(2)alpha , cos alpha sin alpha),(cos alpha sin alpha, sin^(...

    Text Solution

    |

  3. If A=[(cos theta, sin theta),(- sin theta, cos theta)] then lim(nto oo...

    Text Solution

    |

  4. If A=[a(ij)](n xx n) and a(ij)=i(i+j) then trace of A =

    Text Solution

    |

  5. The number of 2xx2 matrices that can be formed by using 1, 2,3,4 then...

    Text Solution

    |

  6. If A=[a(ij)](n xx n) such that a(ij)=(i+j)^(2) then trace of A is

    Text Solution

    |

  7. If A=[(cos alpha, -sinalpha),(sin alpha, cos alpha)], then A+A^(T)=I, ...

    Text Solution

    |

  8. Find the values of x, y, z if the matrix A=[(0, 2y,z),(x,y,-z),(x,-y,...

    Text Solution

    |

  9. If A is square matrix such that A^(2)=A, then (I+A)^(3)-7A is equal to

    Text Solution

    |

  10. For the matrix A=[(3,2),(1,1)], the vlaues of a and b such that A^(2)...

    Text Solution

    |

  11. Matrix A has x rows aand x+4 columns and another matrix B has y rows a...

    Text Solution

    |

  12. If A=[(0, x),(y, 0)] and A^(3)+A=O then

    Text Solution

    |

  13. If omega is a complex cube root of unity and A=[(omega,0),(0, omega)]...

    Text Solution

    |

  14. If A, B are two square matrices such that AB=B, BA=A and n in N then...

    Text Solution

    |

  15. If A=[(1, 2, x),(3,-1,2)] and B=[(y),(x),(1)] be such that AB=[(6),(8)...

    Text Solution

    |

  16. Let A and B be any two 3 xx 3 matrices. If A is symmetric and B is ske...

    Text Solution

    |

  17. Let A and B be two symmetric matrices of order 3. Statement: 1: A(BA...

    Text Solution

    |

  18. Let A=((1,0,0),(2,1,0),(3,2,1)). If u(1) and u(2) are column matrices ...

    Text Solution

    |

  19. If A=((1, 2,2),(2,1,-2),(a,2,b)) is a matrix satisfying the equatio...

    Text Solution

    |

  20. If A=((0, -1),(1, 0)) then which one of the following statements is ...

    Text Solution

    |