While doing the affine mapping after calculating the inverse of my polynomial using the EEA, I am not getting the value of the inverse as it should be This is the image of matrix multiplication. It is the affine mapping step in the s box layer of AES. My value is not what it should be, therefore I just wanted it to be confirmed by someone else. 



I'm getting $(11001000)$ as answer while it should be $(10000011)$; the value of my input is $(11111110)$.
After a small coding with the SageMath, these are the steps;

R = IntegerModRing(2)
A = Matrix(R,[
    [1,0,0,0,1,1,1,1],
    [1,1,0,0,0,1,1,1],
    [1,1,1,0,0,0,1,1],
    [1,1,1,1,0,0,0,1],
    [1,1,1,1,1,0,0,0],
    [0,1,1,1,1,1,0,0],
    [0,0,1,1,1,1,1,0],
    [0,0,0,1,1,1,1,1]])
B = Matrix(R,8,1,[1,1,1,1,1,1,1,0])
C = Matrix(R,8,1,[1,1,0,0,0,1,1,0])
D = A*B+C


The answer is

[1,1,0,0,1,0,0,0]


A is the 8x8 matrix, B is the column vector multiplied with A, C is the added vector and D is the result.