Given a complex vector space E offinited imension n, prove that E∗ also has dimension n. Prove the polarization identitiesin Lemma XXXXXXXXXXGiven a Hermitian space E, for any orthonor malbas...

Given a complex vector space E offinited imension n, prove that E∗ also has dimension n.

Prove the polarization identitiesin Lemma 11.1(2). 11.3.Given a Hermitian space E, for any orthonor malbas is(e1,...,en),if X and Y are arbitrary matrices over the basis (e1,...,en),denotingas usual the jth column of X by Xj, and similarly for Y, prove that