The given matrix M is a 2×2 matrix. To find M, we need to compute the matrix multiplication of the two given matrices. The product is calculated by taking the dot product of rows of the first matrix with columns of the second matrix.

Let the first matrix be A = $\left[\begin{array}{cc}1& 2\\ 3& 4\end{array}\right]$ and the second be B = $\left[\begin{array}{cc}2& 0\\ 1& 2\end{array}\right]$.

Then, M = A × B = $\left[\begin{array}{cc}1\times 2+2\times 1& 1\times 0+2\times 2\\ 3\times 2+4\times 1& 3\times 0+4\times 2\end{array}\right]$ = $\left[\begin{array}{cc}4& 4\\ 10& 8\end{array}\right]$.

Final Answer: $\left[\begin{array}{cc}4& 4\\ 10& 8\end{array}\right]$