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I have gone through the note sir
Sir in Chapter 2
Question 2.23 , what is referred to as the symmetry of (e(dyad)e)
It should be obvious to you that is symmetrical. If it is not, remember that the transpose of a dyad is simply a dyad that interchanges its arguments. In this case, the two arguments are the same so that the transpose is indistinguishable from the original. That defines symmetry!