Home
Class 12
MATHS
Fiven the matrix A= [[-1,3,5],[1,-3,-5],...

Fiven the matrix `A= [[-1,3,5],[1,-3,-5],[-1,3,5]]` and X be
the solution set of the equation `A^(x)=A,` where `x in N -{1}`.
Evaluate `prod((x^(3)+1)/(x^(3)-1))` where the contincued extends for all
`x in X`.

Text Solution

Verified by Experts

The correct Answer is:
`(3)/(2)`
Promotional Banner

Topper's Solved these Questions

  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise PART-II:|28 Videos
  • INDEFINITE INTEGRATION

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

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

Similar Questions

Explore conceptually related problems

Find all solutions of the equation |x - 1| -|x -8| = 3

Evaluate: int(x^3-1)^(1/3)x^5dx

The equation 3^(x-1)+5^(x-1)=34 has

The total number of solutions of the equation sin^-1(3/5 x)+sin^-1(4/5 x)=sin^-1 x

If x in{-2,-1,0,1,2,3,4,5} , find the solution set of each of the following inequations : 3x-8lt1

If 5^x+(2sqrt(3))^(2x)geq1 3^x then the solution set for

If x+1/x=5 find the value of x^3+1/(x^3)

If x-1/x=5 , find the value of x^3-1/(x^3)

If x in{-2,-1,0,1,2,3,4,5} , find the solution set of each of the following inequations : 3x+4lt15

If m and n are roots of the equation : (1)/(x)-(1)/(x-2)=3 , where x ne 0 and x ne 2 , find mxxn .

RESONANCE ENGLISH-MATRICES & DETERMINANT-HLP
  1. If a,b,c are real number, and D=|{:(,a,1+2i,3-5i),(,1-2i,b,-7-3i),(,3+...

    Text Solution

    |

  2. If A=[{:(,1,a),(,0,1):}] then find lim(n-oo) (1)/(n)A^(n)

    Text Solution

    |

  3. "Let" P=[{:(,"cos"(pi)/(9),"sin"(pi)/(9)),(,-"sin"(pi)/(9),"cos"(pi)/(...

    Text Solution

    |

  4. Let A=[{:(,1,1,1),(,1,1,1),(,1,1,1):}] , B=[{:(,2,-1,-1),(,-1,2,-1),(,...

    Text Solution

    |

  5. Let A be a (4xx4) matrix such that the sum of elements in each row is ...

    Text Solution

    |

  6. Let A=[{:(,x+lambda,x,x),(,x,x+lambda,x),(,x,x,x+lambda):}]then prove ...

    Text Solution

    |

  7. Let A be a nxxn matrix such thatA ^(n) = alpha A, where alpha is a ...

    Text Solution

    |

  8. Let p and q be real number such that x^(2)+px+q ne0 for every real num...

    Text Solution

    |

  9. Let A,B,C be three 3 xx 3 matrices with real enteries. If BA+BC+AC=1, ...

    Text Solution

    |

  10. If |z(1)|=|z(2)|=1, then prove that [{:(,z(1),-z(2)),(,bar(z)(2),bar(z...

    Text Solution

    |

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

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. If the system of equations x=cy+bz, y=az+cx and z=bx+ay has non-trivia...

    Text Solution

    |

  14. IfD=d i ag[d1, d2, dn] , then prove that f(D)=d i ag[f(d1),f(d2), ,f(...

    Text Solution

    |

  15. Fiven the matrix A= [[-1,3,5],[1,-3,-5],[-1,3,5]] and X be the solut...

    Text Solution

    |

  16. If q is a characteristic root of an singular matrix A, then prove that...

    Text Solution

    |

  17. Show that if lambda(1), lambda(2), ...., lambda(n) are n eigenvalues o...

    Text Solution

    |

  18. If there an three square matrices A, B, C of same order satisying th...

    Text Solution

    |

  19. If A is a nonsingular matrix satisfying AB-BA=A, then prove that det. ...

    Text Solution

    |

  20. If a rank is a number associated with a matrix which is the highest or...

    Text Solution

    |