Determine if the following subsets are subspaces. If it is not a subspace, explain why not. If the subset is a subspace,

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Determine If The Following Subsets Are Subspaces If It Is Not A Subspace Explain Why Not If The Subset Is A Subspace 1 (19.6 KiB) Viewed 63 times

Determine if the following subsets are subspaces. If it is not a subspace, explain why not. If the subset is a subspace, find a basis for the subspace. (a) H = {TER4 21+ x3 x4 = 0, 1x2x3 = 0} (b) H= {R³ (c) H= {p(x) = P₁ P(-1)=0, p(2)=0} (d) H = { ER² : x2 = |x1|} x22x3 + 5x4 = 0}