If $A=[\begin{smallmatrix}1&2\ a&b\end{smallmatrix}]$ and $A^{2}=[\begin{smallmatrix}0&0\ 0&0\end{smallmatrix}]$, then the values of a and b are:

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If \(A=[\begin{smallmatrix}1&2\\ a&b\end{smallmatrix}]\) and \(A^{2}=[\begin{smallmatrix}0&0\\ 0&0\end{smallmatrix}]\), then the values of a and b are: