Home
Class 12
MATHS
If [(0, 1), (-1,0)]^n = [(1,0),(0, 1)] t...

If `[(0, 1), (-1,0)]^n = [(1,0),(0, 1)]` then the value of n is

A

2

B

3

C

4

D

6

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If A={:[(1,2,x),(0,1,0),(0,0,1)]:}, B={:[(1,-2,y),(0,1,0),(0,0,1)]:} and AB=I_(3) , then find the value of x + y + 1.

Prove that if A=[(1,0),(0,-1)] and B=[(0,1),(1,0)] , then AB=[(0,1),(-1,0)] . and BA=[(0,-1),(1,0)] . Clearly AB ne BA .

For non-negative integers ma n dn a function is defined as follows: f(m ,n)={n+1ifm=0 f(m-1,1)ifm!=0,n=0 f(m-1,f(m ,n-1))ifm!=0,n!=0} Then the value of f(1,1) is a. 1 b. 12 c. 3 d. 4

If f(x)={(1-cos(1-cos x/2))/(2^m x^n)1x=0,x!=0 and f(0)=1 is continuous at x=0 then the value of m+n is a. 2 b. 3 c. -3 d. 7

Let A=[(1,0,0),(0,1,1),(0,-2,4)],I=[(1,0,0),(0,1,0),(0,0,1)] and A^-1=[1/6(A^2+cA+dI)] Then value of c and d are (a) (-6,-11) (b) (6,11) (c) (-6,11) (d) (6,-11)

Let a=3^(1/(223))+1 and for all n geq3,l e tf(n)=^n C_0dota^(n-1)-^n C_1dota^(n-2)+^n C_2dota^(n-3)-+(-1)^(n-1).^n C_(n-1) a^0 . If the value of f(2007)+f(2008)=3^k where k in N , then the value of k is.

Let A=[(1,0,0),(1,0,1),(0,1,0)] satisfies A^(n)=A^(n-2)+A^(2)-I for n ge 3 . And trace of a square matrix X is equal to the sum of elements in its proncipal diagonal. Further consider a matrix underset(3xx3)(uu) with its column as uu_(1), uu_(2), uu_(3) such that A^(50) uu_(1)=[(1),(25),(25)], A^(50) uu_(2)=[(0),(1),(0)], A^(50) uu_(3)=[(0),(0),(1)] Then answer the following question : The value of |uu| equals

If (4x^(2) + 1)^(n) = sum_(r=0)^(n)a_(r)(1+x^(2))^(n-r)x^(2r) , then the value of sum_(r=0)^(n)a_(r) is

If the value of the definite integral int_0^1(sin^(-1)sqrt(x))/(x^2-x+1)dx is (pi^2)/(sqrt(n)) (where n in N), then the value of n/(27) is

If A={:[(1,1,1),(0,1,1),(0,0,1)] , Prove by mathematical induction that, A^(n)={:[(1,n,(n(n+1))/2),(0,1,n),(0,0,1)] for every positive integer n.

UNITED BOOK HOUSE-SET 17-EXERCISE
  1. Find the order of the differential equation ((d^4y)/(dx^4))^3-(d^3y...

    Text Solution

    |

  2. If [(0, 1), (-1,0)]^n = [(1,0),(0, 1)] then the value of n is

    Text Solution

    |

  3. The S.D. of a binomial distribution with parameteres n and p is

    Text Solution

    |

  4. The angle between the lines whose direction ratios are proportional to...

    Text Solution

    |

  5. If vecalpha= 2hati+3 hat j-6 hatk and vec beta= phat i-hatj+2 hatk are...

    Text Solution

    |

  6. Which of the following solution of the differential equation dx - dy +...

    Text Solution

    |

  7. Three events A,B and C are mutually exclusive and exhaustive , if P(A)...

    Text Solution

    |

  8. If for a random variable x, the variance of x is 1.84 and the expectat...

    Text Solution

    |

  9. Find the value of sin cot^-1 cos (tan^-1(2))

    Text Solution

    |

  10. A binary operation * is defined on the set of real numbers R by a*b =...

    Text Solution

    |

  11. Solve for a,b,c and d when ((b+c, c+a), (7 - d ,6 -c)) = ((9-d, 8-d),(...

    Text Solution

    |

  12. Evaluate : |[0, (a-b)^3, (b-c)^3], [(b-a)^3, 0, (c-a)^3],[(c- b)^3, (a...

    Text Solution

    |

  13. Examine whether the following function is continuous at x = 0 . phi(...

    Text Solution

    |

  14. Find the differential co-efficient of logx10 with respect to tan^-1x.

    Text Solution

    |

  15. Evaluate: int((cosx+xsinx)/(x(x+cosx)))dx.

    Text Solution

    |

  16. Find if Lagrange's Mean Value Theorem is applicable to the function f...

    Text Solution

    |

  17. Eleminating a and b, find the differential equation of all ellipse of ...

    Text Solution

    |

  18. Evaluate : underset(x rarr 0) Lt (1+3x)^((x+2)/x)

    Text Solution

    |

  19. If vec a, vec b, vec c are unit vectors satisfying the condition veca+...

    Text Solution

    |

  20. Find the value of lambda so that the plane vecr. (veci + 2vecj + 3veck...

    Text Solution

    |