Row Space

Definition

$\mathbf{C}({\mathbf{A}}^{⊺})={\sum }_{i=1}^n{x}_i{\mathbf{a}}_i$

The span of the column vectors of the transposed matrix

Facts

Row Rank

Definition

$\text{row-rank}(\mathbf{A})=\dim (\mathbf{C}({\mathbf{A}}^{⊺}))$

A dimension of the Row Space

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