True or false. Prove if true or give a counter example if false the set W={ (x_1,3,x_3):x_1 and x_3


Question: True or false. Prove if true or give a counter example if false the set \[W=\left\{ \left( {{x}_{1}},3,{{x}_{3}} \right):{{x}_{1}}\text{ and }{{x}_{3}}\text{ are real numbers} \right\}\] is a subspace of \[{{R}^{3}}\] with the standard operations.

a) False

b) True

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