Question: Let vt,... , v be elements of a complex inner product space. Let K denote the corresponding n x n Gram matrix, defined in the

Let vt,... , v" be elements of a complex inner product space. Let K denote the corresponding n x n Gram matrix, defined in the usual manner.
(a) Prove that A- is a Hermitian matrix, as defined in Exercise 3.6.49.
(b) Prove that K is positive semi-definite, meaning zT K z ≥ 0 for all z ∈ C".
(c) Prove that K is positive definite if and only ............ are linearly independent.

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