Home
Class 12
MATHS
If a is the matrix [(1,-3),(-1,1)], then...

If a is the matrix `[(1,-3),(-1,1)]`, then `A-(1)/(3)A^(2)+(1)/(9)A^(3)……….. +(-(1)/(3))^(n)A^(n+1)+ ……… oo=(3)/(13)[(1,a), (b,1)]`. Find `|(a)/(b)|`.

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-4 : Matching Type Problems|1 Videos

  • TRIGONOMETRIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

lim_ (n rarr oo) ((1) / (3) + (1) / (3 ^ (2)) + (1) / (3 ^ (3)) ++ (1) / (3 ^ (n) ))

lim_ (x rarr oo) {(1) / (3) + (1) / (3 ^ (2)) + (1) / (3 ^ (3)) + ...... (. 1) / (3 ^ (n))} =

(2.3^(n+1)+7.3^(n-1))/(3^(n+1)-2((1)/(3))^(1-n))=

evaluate lim_ (n rarr oo) [(1) / (3) + (1) / (3 ^ (2)) + (1) / (3 ^ (2)) + ......... + (1) / (3 ^ (n))]

Find the sum sum_(n=1)^(oo)(6^(n))/((3^(n)-2^(n))(3^(n+1)-2^(n+1)))

sum_(n=1)^(oo)((1)/(4n-3)-(1)/(4n-1))=(pi)/(n) find n

lim_ (n rarr oo) [(1) / (1.2) + (1) / (2.3) + (1) / (3.4) + ... + (1) / (n (n + 1))] =

lim_ (n rarr oo) (1 + 2 ^ ((1) / (3)) + 3 ^ ((1) / (3)) + .... + n ^ ((1) / (3))) / (n ^ ((4) / (3)))

VIKAS GUPTA (BLACK BOOK)-VECTOR & 3DIMENSIONAL GEOMETRY-Exercise-5 : Subjective Type Problems
  1. A straight line L intersects perpendicularly both the lines : (x+2)/...

    Text Solution

    |

  2. If hata, hatb and hatc are non-coplanar unti vectors such that [hata ...

    Text Solution

    |

  3. Let OA, OB, OC be coterminous edges of a cubboid. If l, m, n be the sh...

    Text Solution

    |

  4. Let OABC be a tetrahedron whose edges are of unit length. If vec OA = ...

    Text Solution

    |

  5. Let vec v(0) be a fixed vector and vecv(0)=[(1)/(0)]. Then for n ge ...

    Text Solution

    |

  6. If a is the matrix [(1,-3),(-1,1)], then A-(1)/(3)A^(2)+(1)/(9)A^(3)……...

    Text Solution

    |

  7. A sequence of 2xx2 matrices {M(n)} is defined as follows M(n)=[((1)/(...

    Text Solution

    |

  8. Let |veca|=1, |vecb|=1 and |veca+vecb|=sqrt(3). If vec c be a vector ...

    Text Solution

    |

  9. Let vecr=(veca xx vecb)sinx+(vecb xx vec c)cosy+2(vec c xx vec a), whe...

    Text Solution

    |

  10. The plane denoted by P(1) : 4x+7y+4z+81=0 is rotated through a right a...

    Text Solution

    |

  11. ABCD is a regular tetrahedron, A is the origin and B lies on x-axis. A...

    Text Solution

    |

  12. A, B, C, D are four points in the space and satisfy |vec(AB)|=3, |vec(...

    Text Solution

    |

  13. Let OABC be a regular tetrahedron of edge length unity. Its volume be ...

    Text Solution

    |

  14. If veca and vecb are non zero, non collinear vectors and veca(1)=lamb...

    Text Solution

    |

  15. Let P and Q are two points on curve y=log((1)/(2))(x-(1)/(2))+log(2) s...

    Text Solution

    |

  16. Let P and Q are two points on curve y=log((1)/(2))(x-(1)/(2))+log(2) s...

    Text Solution

    |

  17. If a, b, c, l, m, n in R-{0} such that al+bm+cn=0, bl+cm+an=0, cl+am+b...

    Text Solution

    |

  18. Let vec ua n d vec v be unit vectors such that vec uxx vec v+ vec u=...

    Text Solution

    |