Home
Class 11
MATHS
If A=((0, -1),(1, 0)) then which one of...

If `A=((0, -1),(1, 0))` then which one of the following statements is not correct ?

A

`A^(3)-I=A(A-I)`

B

`A^(3)+I=A(A^(3)-I)`

C

`A^(2)+I=A(A^(2)-I)`

D

`A^(4)-I=A^(2)+I`

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

Which one of the following statement is not correct ?

Which one of the following statements is correct?

Which one of the following statements is correct?

Which one of the following statements is correct

Which one of the following statements is correct?

Which one of the following statements is correct?

Which one of the following statements is correct ?

Which one of the following statements is correct?

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

    |