[Solution Library] Determine whether the given set is a subspace of R^4. Justify your answer. [lu_1 , u_2 , u_3 , u_4] in R^4: u_2=5 u_3, u_1=0 and
Question: Determine whether the given set is a subspace
of \(R^{4}\). Justify your answer.
{ \(\left[\begin{array}{l}u_{1} \\ u_{2} \\ u_{3} \\ u_{4}\end{array}\right]\) in \(R^{4}: u_{2}=5 u_{3}, u_{1}=0\) and \(\left.u_{4}=0\right\}\)
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