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Linear map of two variables.
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More formally, given 3 vector spaces X, Y, Z over a single field, a bilinear map is a function from:
that is linear on the first two arguments from X and Y, i.e.:
Note that the definition only makes sense if all three vector spaces are over the same field, because linearity can mix up each of them.
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The most important example by far is the dot product from , which is more specifically also a symmetric bilinear form.
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Ancestors

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