What conditions should hold for the four integers $n_1, n_2, m_1, m_2$ so that $(n_1, n_2)$ and $(m_1,m_2)$ can Z-linear span $Z^2$?
How can $(n_1, n_2)$ and $(m_1,m_2)$ Z-linear span $Z^2$?
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linear-algebra
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1They span iff $n_1m_2-n_2m_1=\pm 1$. – 2012-08-30