An inner product adds metric geometry to a real or complex vector space. This graph uses the convention $\langle x,y\rangle$ conjugate-linear in $x$ and linear in $y$, matching $x^*y$ in complex coordinates. It defines length, distance, orthogonality and projection. Conventions in other books may conjugate the opposite slot; translate formulas consistently.
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- Definition of inner productAn inner product on a real or complex vector space is a scalar-valued function satisfying additivity, $\langle...
- Definition of inner product spaceAn inner-product space is a vector space equipped with a specified inner product. Examples include $\mathbb C^n$ with...
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