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If A=[(1,1), (1,1)] and det (A^n-1)=1-la...

If `A=[(1,1), (1,1)]` and `det (A^n-1)=1-lambda^n, n in NN,` then the value of `lambda_n` is

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Knowledge Check

  • If A = [[1 ,1],[1,1]] and det (A^(n) - 1) = 1 -lambda ^(n), n in N, then the value of lambda is

    A
    1
    B
    2
    C
    3
    D
    4

  • If |a_(i)| lt 1, lambda_(i) ge 0 for i=1,2,……n and lambda_(1)+lambda_(2)+…….+lambda_(n)=1 , then the value of |lambda_(1)a_(1)+lambda_(2)a_(2)+…….+lambda_(n)a_(n)| is

    A
    equal to 1
    B
    less than 1
    C
    greater than 1
    D
    none of these

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    If f(x)=sum_(r=1)^(n) { r^(2) (""^(n)C_(r)- ^(n) C_(r-1))+ (2r+1) ^(n) C_(r)} and f(30)=30(2)^(lambda), then the value of lambda is

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