Lesson plan
orthogonal complement
In the mathematical fields of linear algebra and functional analysis, the orthogonal complement of a subspace W of a vector space V equipped with a bilinear form B is the set W^\perp of all vectors in V that are orthogonal to every vector in W . Informally, it is called the perp, short for perpendicular complement. It is a subspace of V .
Article summary
In the mathematical fields of linear algebra and functional analysis, the orthogonal complement of a subspace W of a vector space V equipped with a bilinear form B is the set W^\perp of all vectors in V that are orthogonal to every vector in W . Informally, it is called the perp, short for perpendicular complement. It is a subspace of V .
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