# Find a basis for the eigenspace corresponding to the eigenvalue of A given below. A=[[4,0,2,0],[4,2,10,0],[3,-4,17,0],[2,-2,8,3]] , \lambda=3

Find a basis for the eigenspace corresponding to the eigenvalue of A given below.
$$A=\begin{bmatrix}4 & 0&2&0 \\4 & 2&10&0\\3&-4&17&0\\2&-2&8&3 \end{bmatrix} , \lambda=3$$

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Usamah Prosser