6. Let W be a subspace of $\mathbb{R}^n$. Show that $W^\perp$ is a subspace of $\mathbb{R}^n$ using the definition of subspace or the subspace test.
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The zero vector is in $W^\perp$. 2. $W^\perp$ is closed under addition. 3. $W^\perp$ is closed under scalar multiplication. Show more…
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