Let E = [[0, 1, 0], [1, 0, 0], [0, 0, 1]] be an elementary matrix. Which of the following is true?
a) E - diag(1, 1, 1) = [[-1, 1, 0], [1, -1, 0], [0, 0, 0]]
b) E - diag(1, 1, 1) = [[1, -1, 0], [-1, 1, 0], [0, 0, 0]]
c) E - diag(1, 1, 1) = [[1, 1, 0], [1, 1, 0], [0, 0, 0]]
d) E - diag(1, 1, 1) = [[0, 1, 0], [0, 0, 0], [0, 0, 1]]