Exercise 1.2.11

Question

Let $\mathrm{V}=\{0\}$ consist of a single vector 0 and define $0+0=0$ and $c 0=0$ for each scalar $c$ in $F$. Prove that $\mathrm{V}$ is a vector space over $F$. ($\mathrm{V}$ is called the zero vector space.)

Jephian C.-H. Lin · Accepted Answer

All conditions are easy to check because there is only one element contained.

Exercise 1.2.11

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Exercise 1.2.11

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