Part of the Undergraduate Texts in Mathematics book series (UTM)
A nonempty subset U; of a vector space V is called a linear sub-space of V the following two conditions are satisfied:
if A ∈ U; and B ∈ U; then A + B ∈ U;
if A ∈ U; and r ∈ ℝ then rA ∈ U;.
KeywordsLinear Combination Vector Space Linear Subspace Nonempty Subset Scalar Multiplication
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Springer-Verlag, New York Inc. 1978