When is the system of recursive equations $y_{n+1} = Ay_n$ stable?

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Let $y_n = (y_{1n}, y_{2n})^T.$

I'm wondering what the condition on the matrix $A$ is for the recursive system of equations $$y_{n+1} = Ay_n$$ to be stable (i.e neither $y_1$ or $y_2$ blows up). Can I express this in eigenvalues somehow?

I'm specially interested in the $2\times 2$ case but maybe it generalizes to higher dimensions.