# 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: ![](Dear%20linear%20algebra%20students,%20This%20is%20what%20matrices%20(and%20matrix%20manipulation)%20really%20look%20like%206-16%20screenshot.png) 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). --- Date: 20220105 Links to: Tags: References: * [Good youtube video explanation](https://youtu.be/4csuTO7UTMo?t=370)