subspace
has definitions from the field of mathematics
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[ noun ] (mathematics) a space that is contained within another space
Used in print (Kenneth Hoffman and Ray Kunze, Linear Al...)On_the_other_hand , the null_space of * * f and the null_space of * * f together span V , the former being the subspace spanned by * * f and the latter the subspace spanned by * * f and * * f . On_the_other_hand , the null_space of * * f and the null_space of * * f together span V , the former being the subspace spanned by * * f and the latter the subspace spanned by * * f and * * f . We wish to show that the range of * * f is exactly the subspace * * f . It is certainly clear that the subspaces * * f are invariant under T . If * * f is the operator induced on * * f by T , then evidently * * f , because by definition * * f is 0 on the subspace * * f . Related terms |
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