[Solved] Show that an arbitrary map : C^n * C^n \rightarrow C is an inner product on C^n if and only if there exists a Hermitian positive
Question: Show that an arbitrary map \(\langle\cdot, \cdot\rangle: \mathbb{C}^{n} \times \mathbb{C}^{n} \rightarrow \mathbb{C}\) is an inner product on \(\mathbb{C}^{n}\) if and only if there exists a Hermitian positive definite matrix \(B \in \mathbb{C}^{n \times n}\) such that \(\langle x, y\rangle=y^{*} B x\) for all \(x, y \in \mathbb{C}^{n}\)
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(Solved) Suppose that A, B ∈ R^n * n are positive definite
(All Steps) Suppose that X, Y ∈ R^n * k where k ≤q n and
![[Solution Library] Let A ∈ C^n *](/images/solutions/MC-solution-library-78338.jpg "[Solution Library] Let A ∈ C^n * n be a Hermitian matrix, and fix")
[Solution Library] Let A ∈ C^n * n be a Hermitian matrix, and fix
![[Solution Library] Suppose that f(x)=(5 sin (x))/(x-2)](/images/solutions/MC-solution-library-78339.jpg "[Solution Library] Suppose that f(x)=(5 sin (x))/(x-2) Select all of")
[Solution Library] Suppose that f(x)=(5 sin (x))/(x-2) Select all of
![[Solution] Define g(x)= sin (f(x)) Find an](/images/solutions/MC-solution-library-78340.jpg "[Solution] Define g(x)= sin (f(x)) Find an expression in terms of")
[Solution] Define g(x)= sin (f(x)) Find an expression in terms of
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