Question
Determine whether the set $W$ is a subspace of $R^{3}$ with the standard operations. Justify your answer.$W=\left\{\left(x_{1}, x_{2}, x_{1} x_{2}\right): x_{1} \text { and } x_{2} \text { are real numbers }\right\}$
Step 1
Step 1: First, we need to define the set $W$ which is given as $W=\left\{\left(x_{1}, x_{2}, x_{1} x_{2}\right): x_{1} \text { and } x_{2} \text { are real numbers }\right\}$. Show more…
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