Definition:Row Space
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Definition
Let $R$ be a ring.
Let $\mathbf A$ be a matrix over $R$.
Let $\mathbf A^\intercal$ be the transpose of $\mathbf A$.
Let the columns of $\mathbf A^\intercal$ be members of a vector space.
The row space of $\mathbf A$ is defined as the column space of $\mathbf A^\intercal$.
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Sources
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