Suppose you receive the message $11001011,$ together with

the authentication tag $1011,$ which was supposedly produced

using a CBC$-$MAC using the Hill cipher with key

$k=\left[\begin{array}{cccc}1& 0& 0& 1\\ 0& 1& 1& 0\\ 1& 0& 0& 0\\ 0& 1& 0& 1\end{array}\right].$ Verify this authentication tag.