The standard inner product on R^n commutes with (real) scalar multiplication.

Created almost 9 years ago, updated about 8 hours ago

For $a\in\mathbb R$, $\langle ax,y\rangle=a\langle x,y\rangle$ and $\langle x,ay\rangle=a\langle x,y\rangle$. Together with additivity this makes the real dot product bilinear. In complex spaces the first scalar is conjugated under this graph's convention.

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