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Vector Spaces II : Finite Dimensional Linear Algebra
Example 3. If X ⊆ RN is a vector space then it is a vector subspace of RN . Example 4. R1 is a vector subspace of R2. But the set [−1, 1] is not a vector subspace because it is not closed under either vector addition or scalar multiplication (for example, 1 + 1 = 2 6∈ [−1, 1]). Geometrically, a vector space in RN looks like a line, plane, or higher dimensional analog thereof, through the origin...
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ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 1953
ISSN: 0386-5991
DOI: 10.2996/kmj/1138843331