Home
Class 12
MATHS
Let A be an involutary matrix and S be t...

Let A be an involutary matrix and S be the set containing solution of `A^(x)=1` where `A = [[0,1,-1],[4,-3,4],[3,-3,4]]` Then minimum value of `sum_(x in S )^(oo) (sin^(x)theta+cos^(x)theta)`

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • MATRICES & DETERMINANT

    RESONANCE|Exercise PART-III|21 Videos
  • MATRICES & DETERMINANT

    RESONANCE|Exercise EXERCISE-2|20 Videos
  • MATRICES & DETERMINANT

    RESONANCE|Exercise SECTION-D|17 Videos
  • INDEFINITE INTEGRATION

    RESONANCE|Exercise SELF PRACTIC PROBLEMS|25 Videos
  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos

Similar Questions

Explore conceptually related problems

The value for 2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta)+1 is

Minimum value of (1)/(3 sin theta - 4 cos theta + 7) is

The minimum value of (1)/(3sin theta-4cos theta+7) is

Find the minimum value of f(theta)=(3sin(theta)-4cos(theta)-10)(3sin(theta)+4cos(theta)-10)

Find the maximum and minimum value of (1)7cos theta+24sin theta(2)4sin theta-3cos theta+7

Let x be the solution set of equation A^x=Idot,w h e r eA+[0 1-1 4-3 4 3-3 4]a n dI is the corresponding unit matrix and xsubeN , then the minimum value of sum(cos^xtheta+sin^xtheta),theta in Rdot

Find the maximum and minimum values of (sin^(-1)x)^(3)+(cos^(-1)x)^(3), where -1<=x<=1

RESONANCE-MATRICES & DETERMINANT-PART-II
  1. Let A=[(0,1),(2,0)] and (A^(8)+A^(6)+A^(2)+I)V=[(32),(62)] where V i...

    Text Solution

    |

  2. Let A=[{:(,3x^(2)),(,1),(,6x):}], B=[a,b,c] and C=[{:(,(x+2)^(2),5x^(2...

    Text Solution

    |

  3. Let A be an involutary matrix and S be the set containing solution of ...

    Text Solution

    |

  4. If A is a diagonal matrix of order 3xx3 is commutative with every squa...

    Text Solution

    |

  5. A is a (3xx3) diagonal matrix having integral entries such that det (A...

    Text Solution

    |

  6. If |{:(,b+c,c+a,a+b),(,c+a,a+b,b+c),(,a+b,b+c,c+a):}|ge 0, "where a ,b...

    Text Solution

    |

  7. If a1, a2, a3,54,a6,a7, a8, a9 are in H.P., and D=|a1a2a3 5 4a6a7a8a9|...

    Text Solution

    |

  8. If |{:(,a+b+2c,a,b),(,c,b+c+2a,b),(,c,a,c+a+2b):}|=k(alphaa+betab+gamm...

    Text Solution

    |

  9. If A is a square matrix of order 3 and A' denotes transpose of matrix ...

    Text Solution

    |

  10. se A is a matrix such that A^2 =A and (I + A)^6 =1+ KA, then k is

    Text Solution

    |

  11. |[-bc, b^2+bc, c^2 +bc],[a^2+ac,-ac,c^2+ac],[a^2+ab,b^2+ab,-ab]|=64. t...

    Text Solution

    |

  12. If f(x)=|{:(,1+sin^(2)x,cos^(2)x,4sin2x),(,sin^(2)x,1+cos^(2)x,4sin2x)...

    Text Solution

    |

  13. If Un=|(n,1,5),(n^2, 2N+1,2N+1),(n^3,3N^2,3N+1)|, then sum(n=1)^NUn is...

    Text Solution

    |

  14. The value of a for which system of equation , a^3x+(a+1)^3y+(a+2)^3z=0...

    Text Solution

    |

  15. Consider the system linear equations in x ,y ,a n dz given by (s in3th...

    Text Solution

    |

  16. The value of k for which the set of equations 3x+ky-2z=0, x + ky + 3z ...

    Text Solution

    |

  17. A(1)=[a(1)] A(2)=[{:(,a(2),a(3)),(,a(4),a(5)):}] A(3)=[{:(,a(6),a(...

    Text Solution

    |

  18. If {1/2(A-A'+1)}^-1=2/lambda[(lambda-13,-lambda/3,lambda/3),(-17,10,-...

    Text Solution

    |

  19. Given A=[[2,0,-alpha],[5,alpha,0],[0,alpha,3]] For a in R-{a, b}, A^(-...

    Text Solution

    |

  20. Let a ,b , c be the real numbers. The following system of equations in...

    Text Solution

    |