Home
Class 12
MATHS
If the matrix b=[(0,-1),(1,0)] then B^(1...

If the matrix `b=[(0,-1),(1,0)]` then `B^(1027)` is equal to

A

`[(-1,0),(0,-1)]`

B

`[(0,1),(-1,0)]`

C

`[(1,0),(0,1)]`

D

`[(-1,0),(0,1)]`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 113

    NTA MOCK TESTS|Exercise MATHEMATICS|29 Videos
  • NTA TPC JEE MAIN TEST 124

    NTA MOCK TESTS|Exercise MATHEMATICS |30 Videos

Similar Questions

Explore conceptually related problems

If matrix A=[(a,b),(c,d)] , then |A|^(-1) is equal to

Consider the matrix B= [[0,-1],[1,0]] ,then B^(1027)

If a,b,c are non-zero real numbers, then the inverse of the matrix A=[{:(a,0,0),(0,b,0),(0,0,c):}] is equal to :

If a, b, c are non-zero real numbers, then the inverse of the matrix A=[{:(a,0,0),(0,b,0),(0,0,c):}] is equal to

If A=[(2,2),(-3,2)], B=[(0,-1),(1,0)] then (B^(-1)A^(-1))^(-1) is equal to

if the product of n matrices [(1,1),(0,1)][(1,2),(0,1)][(1,3),(0,1)]…[(1,n),(0,1)] is equal to the matrix [(1,378),(0,1)] the value of n is equal to

If A=[(1 ,0, 0),(0, 1,0),( a,b, -1)] , then A^2 is equal to (a) a null matrix (b) a unit matrix (c) A (d) A

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 120-MATHEMATICS
  1. If p,q and r are three statements then (pto(qtor)hArr[(p^^q)tor)] is a

    Text Solution

    |

  2. Which of the following points passes through the ax+by+c=0, if |(a,b+...

    Text Solution

    |

  3. If the matrix b=[(0,-1),(1,0)] then B^(1027) is equal to

    Text Solution

    |

  4. From the point (2,sqrt(3)) perpendicular tangents are drawn to the par...

    Text Solution

    |

  5. If y=x^(2)+1/(x^(2)+1/(x^(2)+1/(x^(2)+….oo))),then the valueof (dy)/(d...

    Text Solution

    |

  6. Thre numbers are chosen at random without replacement from the set {1,...

    Text Solution

    |

  7. In a class there are 55 students, the number of students studying diff...

    Text Solution

    |

  8. Solve (3+cot76^(@)cot16^(@))/(cot76^(@)+cot16^(@))=

    Text Solution

    |

  9. Statemetn 1: the equation 3^(2x-4)+4^(2x-4)=25 has only one solution x...

    Text Solution

    |

  10. If |x|lt 1 then lim(n to oo)(x^(n))/(x^(n)+1)=?

    Text Solution

    |

  11. If Lagrange's mean value theorem is applicable to the function f(x) fo...

    Text Solution

    |

  12. Find the locus of the Orthocentre of the triangle formed by three tang...

    Text Solution

    |

  13. The value of intsqrt((cosxcos^(3)x)/(1-cos^(2)x))dx is equal to

    Text Solution

    |

  14. Find the value of Lt(n to oo)sum(r=1)^(r=n)1/"n e^(r/n)

    Text Solution

    |

  15. Find the equation of a circle which is drawn on the major axis of the ...

    Text Solution

    |

  16. The particular solution of the differential equation xy (dy)/(dx)=(1+y...

    Text Solution

    |

  17. If ((|x|-1)(|x|-2))/((|x|-3))ge0 then x lies in

    Text Solution

    |

  18. A man is standing on the top of building of height 5 m. If he subtends...

    Text Solution

    |

  19. If the coefficients of 2nd , 3rd and 4th terms in the expansion of (1+...

    Text Solution

    |

  20. Let m,n,p,q represent the lengths of the tangent, subtangent, normal a...

    Text Solution

    |