Write a Maple procedure called "matricediag" which takes as input a square matrix M of m rows and m columns and which returns The smallest element below the main diagonal and its position.

i have this sequence :f:=n->n/n+1
       

> f1:=seq(f(n), n = 0 .. 10);
                       f1:= 0,1/2,3/4,4/5,5/6,6/7,7/8,8/9,10/11

i want to create these sequences by using f :

1) 0,2/3,4/5,6/7,8/9,...

2)2/3,9/10,16/17,..

3) 1/2^2,3^2/4^2,5^2/6^2,7^2/8^2

4)0,3/4,8/9,24/25,35/36
        can anyone help me ?              

Determine the polynomials P∈R₃ [X] such that P (-1) = - 18 and whose remainders in the Euclidean division by X-1, X-2 and X-3 are equal to 6.

I have the polynomial :P=X⁴+X³+aX²+√2X+b

Determine a and b so that (1 + i) is zero of P; then calculate all the zeros of P

I have an equation E:=2*x^(7) -x^(6) -4*x^(5) -15*x^(4) -14 x^(3)+19*x^(2) +28*x+30

I want to the list of solutions which are real numbers (resp. which have a strictly positive imaginary part); can anyone help me !