The definition of a complex vector space was given in the first margin note in Section...

Transcribed Image Text:

The definition of a complex vector space was given in the first margin note in Section 4.1. The definition of a complex inner product on a complex vector space V is identical to that in Definition 1 except that scalars are allowed to be complex numbers, and Axiom 1 is replaced by (u, v) remaining axioms are unchanged. A complex vector space with a complex inner product is called a complex inner product space, Prove that if V is a complex inner product space, then (u, kv) = K(u, v). (v, u). The %3D The definition of a complex vector space was given in the first margin note in Section 4.1. The definition of a complex inner product on a complex vector space V is identical to that in Definition 1 except that scalars are allowed to be complex numbers, and Axiom 1 is replaced by (u, v) remaining axioms are unchanged. A complex vector space with a complex inner product is called a complex inner product space, Prove that if V is a complex inner product space, then (u, kv) = K(u, v). (v, u). The %3D