Subspace of a Vector Space

==2024-12-11

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Theory

A Set $A$ of n-tuples is said to be a subspace of $V_n$ if it follows the following Mathematical Axioms:

1. $A\subset V_n$ for $u,v\in A$,
2. addition is defined on $A$.(closure) $u+v\in A$
3. scalar multiplication is defined on $A$.(closure) for a scalar c, $cu\in A$.
4. $\bar{0}$ exists in A. $\bar{0}\in A$

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