# Matrix Null Space (Kernel) and Nullity Calculator

The calculator will find the null space (kernel) and the nullity of the given matrix, with steps shown.

$\times$

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Find the null space of $\left[\begin{array}{ccc}\frac{\sqrt{6}}{6} & \frac{\sqrt{3}}{2} & \frac{\sqrt{3}}{6}\\- \frac{\sqrt{3}}{3} & 0 & \frac{\sqrt{6}}{3}\end{array}\right]$.