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https://math.stackexchange.com/questions/27621/basis-for-mathbbz2/27637

Basis for $\mathbb{Z}^2$

Let $x = (a, b), y = (c, d) \in \mathbb{Z}^2$. What is the condition on $a, b, c, d$ so that ${x, y}$ is a basis? My answer: $ad\neq bc$ and $gcd(a, c) = gcd(b, d) = 1$. The first condition ensure...



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Basis for $\mathbb{Z}^2$

https://math.stackexchange.com/questions/27621/basis-for-mathbbz2/27637

Let $x = (a, b), y = (c, d) \in \mathbb{Z}^2$. What is the condition on $a, b, c, d$ so that ${x, y}$ is a basis? My answer: $ad\neq bc$ and $gcd(a, c) = gcd(b, d) = 1$. The first condition ensure...



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https://math.stackexchange.com/questions/27621/basis-for-mathbbz2/27637

Basis for $\mathbb{Z}^2$

Let $x = (a, b), y = (c, d) \in \mathbb{Z}^2$. What is the condition on $a, b, c, d$ so that ${x, y}$ is a basis? My answer: $ad\neq bc$ and $gcd(a, c) = gcd(b, d) = 1$. The first condition ensure...

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