Home
Class 12
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^(2)+I=A(A^(2)-1)`

B

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

C

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

D

`A^(3)-I=A(A-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 1: Concept Builder (Topic 1)|14 Videos
  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 1: Concept Builder (Topic 2)|23 Videos
  • MATHEMATICAL REASONING

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos
  • PRINCIPLE OF MATHEMATICAL INDUCTION

    DISHA PUBLICATION|Exercise Exercise-2 Concept Applicator|20 Videos

Similar Questions

Explore conceptually related problems

If A = [(0,-1),(1,0)] then which one of the following statement is not correct ?

DISHA PUBLICATION-MATRICES-Exercise 2: Concept Applicator
  1. If A=[(0,-1),(1,0)] , then which one of the following statements is n...

    Text Solution

    |

  2. If matrix A=[(-5,-8,0),(3,5,0),(1,2,-1)] then find tr(A)+tr(A^(2))+te(...

    Text Solution

    |

  3. If Z is an idempotent matrix, then (I+Z)^(n)

    Text Solution

    |

  4. If B ,\ C are n rowed square matrices and if A=B+C , B C=C B , C^2=...

    Text Solution

    |

  5. If B is an idempotent matrix, and A=I-B, then

    Text Solution

    |

  6. Let A,B and C be nxxn matrices. Which one of the following is a correc...

    Text Solution

    |

  7. If A=1/pi[sin^(-1)(pix)tan^(-1)(x/pi)sin^(-1)(x/pi)cot^(-1)(pix)] and ...

    Text Solution

    |

  8. Let Ad nB be 3xx3 matrtices of ral numbers, where A is symmetric, "B" ...

    Text Solution

    |

  9. If P=[[sqrt3/2,1/2] , [-1/2,sqrt3/2]] and A=[[1,1] , [0,1]] and Q=PAP^...

    Text Solution

    |

  10. If [(0,2b,c),(a,b,-c),(a,-b,c)] is orthogonal matrix, then the value ...

    Text Solution

    |

  11. If A is a square matrix of order m, then the matrix B of same order is...

    Text Solution

    |

  12. If A1, A2, , A(2n-1)a r en skew-symmetric matrices of same order, the...

    Text Solution

    |

  13. For k=1/sqrt(50), the value of a, b, c such that PP' = I, where P=[(2/...

    Text Solution

    |

  14. IfA^(k)= 0 (Ais nilpotent with index k), (I-A)^(p)=I+A+A^(2)+. . .+A^(...

    Text Solution

    |

  15. If A and B are two square matrices such that B=-A^(-1)BA, then (A+B)^(...

    Text Solution

    |

  16. If A=[(1,-1),(2,-1)] and B=[(1,a),(4,b)] and (A+B)^(2)=A^(2)+B^(2). ...

    Text Solution

    |

  17. If A is a square matrix such that A A^T=I=A^TA, then A is

    Text Solution

    |

  18. If Aa n dB are symmetric matrices of the same order and X=A B+B Aa n d...

    Text Solution

    |

  19. [{:(2x+y,4x),(5x-7,4x):}]=[{:(7,7y-13),(y,x+6):}] then the value of x,...

    Text Solution

    |

  20. Given that [(1,omega,omega^(2)),(omega,omega^(2),1),(omega^(2),1,omega...

    Text Solution

    |

  21. If {:A=[(alpha,0),(1,1)]andB=[(1,0),(5,1)]:}, then te value of alpha f...

    Text Solution

    |