Last Updated
：2025/11/28
bilinear form
Noun
Japanese Meaning
双線形形式：同じベクトル空間から2つの引数を取り、スカラー体に写像する写像。片方の引数を固定すると、残る引数については線形性を持つ。
（ plural ）
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(linear algebra) A function of two arguments from the same vector space which maps onto a field of scalars, which acts like a linear form with respect to either one of its arguments when the other one is held constant.
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bilinear form
To determine whether a bilinear form is symmetric, one must check if swapping the two vector arguments leaves the value unchanged.
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To determine whether a bilinear form is symmetric, one must check if swapping the two vector arguments leaves the value unchanged.
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