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- is the set of nxn traceless hermitian matrices under addition a group?
- is the set of nxn traceless hermitian matrices under multiplication a group?
- is the set of nxn traceless non-hermitian matrices under addition a group?

question 1-I thought that traceless means trace=0 is this right? so what would the identity element be? it can't be the null matrix because it doesnt have an inverse, can anyone help? I haven't got around to the other questions but help is probably needed coz i dont like matrices

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# Traceless hermitian matrices form groups?

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