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Im Having diffuculty in working out the nullity of a matrix, the matrix is


a=[ 1,-1,1;-1,1,-1;1,-1,1]

to find the nullity i was finding the eigenvalues and than working out the nullspace and than working out its dimension, is this correct? the other problem with this is i get to the polynomial equation from det(A-Lambda.I)=0

which ends up being -x^3 + 5x^2 -5x -1 which i dont think is correct, can someone please help.


also can someone explain to me what multiplicity is?



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