Euclidean subspace: Linear span, Column space, Row space, Linear independence, Basis (linear algebra), Dimension (vector space), Orthogonal ... space, Linear subspace, Flat (geometry) - Softcover

 
9786130077563: Euclidean subspace: Linear span, Column space, Row space, Linear independence, Basis (linear algebra), Dimension (vector space), Orthogonal ... space, Linear subspace, Flat (geometry)

Inhaltsangabe

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In linear algebra, a Euclidean subspace is a set of vectors that is closed under addition and scalar multiplication. Geometrically, a subspace is a flat in n-dimensional Euclidean space that passes through the origin. Examples of subspaces include the solution set to a homogeneous system of linear equations, the subset of Euclidean space described by a system of homogeneous linear parametric equations, the span of a collection of vectors, and the null space, column space, and row space of a matrix. In abstract linear algebra, Euclidean subspaces are important examples of vector spaces. In this context, a Euclidean subspace is simply a linear subspace of a Euclidean space.

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Reseña del editor

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In linear algebra, a Euclidean subspace is a set of vectors that is closed under addition and scalar multiplication. Geometrically, a subspace is a flat in n-dimensional Euclidean space that passes through the origin. Examples of subspaces include the solution set to a homogeneous system of linear equations, the subset of Euclidean space described by a system of homogeneous linear parametric equations, the span of a collection of vectors, and the null space, column space, and row space of a matrix. In abstract linear algebra, Euclidean subspaces are important examples of vector spaces. In this context, a Euclidean subspace is simply a linear subspace of a Euclidean space.

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