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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

2 votes
1 answer
211 views

Let $R$ be a $M\times N$ matrix with rational entries, Is $|(R\mathbb{Z}^N)/\mathbb{Z}^M|=|(...

Let $R$ be a $M\times N$ matrix with rational entries, $R\mathbb{Z}^N$ be the image of $\mathbb{Z}^N$ under R. Consider a equivalent relation on $R\mathbb{Z}^N$ defined by $a\sim b$ if $a-b\in \mathb …
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