Question
Determine whether the set $W$ is a subspace of $R^{3}$ with the standard operations. Justify your answer.$W=\{(a, a-3 b, b): a \text { and } b \text { are real numbers }\}$
Step 1
We can see that if we set $a = 0$ and $b = 0$, we get the zero vector $(0,0,0)$ which belongs to $W$. So, $W$ is non-empty. Show more…
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