# Row Space
The set of all vectors perpendicular to the [Null Space](Null%20Space.md) is referred to as the **row space**. Below, the row space is the shaded plane:
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The row space always contains all of the row vectors.
Note that the **row space** is always *perpendicular* to the **null space**. Also, note that the dimensionality of the null space, plus that of the row space, should also match the dimensionality of the matrix (column space).
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Date: 20220105
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* [Good youtube video explanation](https://youtu.be/4csuTO7UTMo?t=370)