c)Consider the two BRA eigenvectorsand, respectively. Write down the two conditionwhich express that the eigenvectors are a) normal and b) orthogonal.[2]d)Consider a system which was experimentally determined to only consist of the eigenstates forn= 2 andn =6, which occur with probability denoted by B2and C2, respectively. The2|6|eigenstates are denoted by the two BRA vectorsand.Write down the complete wave function describing such a system in terms of the BRA vectorsand the probabilities.[2]e)Use BRA/KET notation to obtain an expression for the energy expectation value in terms ofprobabilities and the energies of the eigenstates.[4]