Find a spanning set for the space

Im not quite sure how to begin this problem

Find a spanning set for the space:

T(A) = {X in R^5 : AX = (A^T)X}

A =

29, 9, 11, -24, -6

9 , 46, -30, -30, -25

11, -30, 95, 36, -10

14, 13, -15, 57, -11

-6, -25, -10, 1, 28

Im also New to the forum and dont know how to properly post a matrix, sorry, But aside from that

How do i approach this problem? as far as i know to find the spanning set i find my reduced row-echelon form matrix, and Sort out the dependent and independent columns, but this matrix is rather large and ugly which makes me feel like theres a trick to this that involves MUCH less work than RREF.