Last Updated
：2025/12/04
linear subspace
Noun
Japanese Meaning
線形部分空間とは、あるベクトル空間に属するベクトルの集合であり、その集合はベクトルの加算およびスカラー倍という演算に対して閉じている集合を指します。
（ plural ）
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(linear algebra) A subset of vectors of a vector space which is closed under the addition and scalar multiplication of that vector space.
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linear subspace
To determine whether the set of all polynomials of degree at most n forms a linear subspace, we check closure under addition and scalar multiplication.
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To determine whether the set of all polynomials of degree at most n forms a linear subspace, we check closure under addition and scalar multiplication.
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