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

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

If A=det[[1,11,1]] and A^(100)=lambda^(99)A, then the value of lambda is

If ^(2n+1)P_(n-1):^(2n-1)P_(n)=3:5, then find the value of n.

" If "A=[[lambda,2,-1],[-1,1,2],[2,-1,1]]" and "det(adj(adj A)=(23)^(4)," then one of the possible value of "lambda(lambda>0)can be

If y=ax^(n+1)+bx^(-n) and x^(2)(d^(2)y)/(dx^(2))=lambda y then write the value of lambda.

Let A be an n xx n matrix. If det (lambda A) = lambda^(s) det(A), what is the value of s?

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

If P(n):2xx4^(2n+1)=3^(3n+1) is divisible by lambda for all nN is true,then find the value of lambda