Home
Class 12
MATHS
Let" "S(k)=( (1 ,k), (0 ,1) ), k in N .T...

`Let" "S_(k)=( (1 ,k), (0 ,1) ), k in N .Then (S_(2))^(n)(S_(x))^(-1) `(where n in N) is``equal to: `(S_(k))^(-1)` denotes the inverse of matrix `S_(k)`

A

`S_(2n +k)`

B

`S_(2n-k)`

C

`S_(2^(n)+k-1)`

D

`S_(2^(n)-k)`

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise EXERCISE ( LEVEL -2 ) ( single Correct Answer Type Questions)|17 Videos

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|20 Videos

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Concept - based) (Single Correct Answer Type Questions)|10 Videos

  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTRE ENTRANCE EXAMINATION PAPERS|9 Videos

Similar Questions

Explore conceptually related problems

If S_(k)=(1+2+...+k)/(k), find the value of S_(1)^(2)+S_(2)^(2)+...+S_(n)^(2)

Let S_(k)=lim_(n rarr oo)sum_(i=0)^(n)(1)/((1+k)^(i)). Then sum_(k=1)^(n)kS_(k) equals:

Knowledge Check

  • Let S_(k) = (1+2+3+...+k)/(k) . If S_(1)^(2) + s_(2)^(2) +...+S_(10)^(2) = (5)/(12)A , then A is equal to

    A
    303
    B
    283
    C
    156
    D
    301

  • Let S_(k)=lim_(n to oo) sum_(i=0)^(n) (1)/((k+1)^(i))." Then " sum_(k=1)^(n) kS_(k) equals

    A
    `(n(n+1))/(2)`
    B
    `(n(n-1))/(2)`
    C
    `(n(n+2))/(2)`
    D
    `(n(n+3))/(2)`

  • Let S_(n)=sum_(r=1)^(n)r! . If T_(n)=S_(n)-7[(S_(n))/(7)] , where [x] denotes greatest integer le x , then T_(100) is equal to

    A
    7
    B
    5
    C
    11
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    If k in R_(o) then {adj(kI_(n))} is equal to (A) K^(n-1)(B)K^(n(n-1))(C)K^(n)(D)k

    If S_(n) = (.^(n)C_(0))^(2) + (.^(n)C_(1))^(2) + (.^(n)C_(n))^(n) , then maximum value of [(S_(n+1))/(S_(n))] is "_____" . (where [*] denotes the greatest integer function)

    If S_(n) denotes the sum of first n terms of an A.P., then (S_(3n)-S_(n-1))/(S_(2n)-S_(n-1)) is equal to

    Let S_(n) = sum_(k=1)^(4n) (-1) (k(k-1))/(2), k^(2) . Then S_n can take values

    The sum S_(n)=sum_(k=0)^(n)(-1)^(k)*^(3n)C_(k) , where n=1,2,…. is

    Home
    Profile