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'r' "'1 Let H be the subset 01R2 of all points on the line 74m + 3y = I]. Is Ha subspace of R2? 1. Does H contain the zero vectorof R2? choose v 2. Is H closed under addition? If ll is, enter CLOSED. If it is not, enter two vectors in H whose sum is not in H, using a comma separated list and syntax such as _._ . 3. Is H closed under scalar multiplication? If it is, enter CLOSED. If it is not, enter a scalar in R and a vector in Hwhose product is not in H. using a comma separated list am Swarm?" as 2- .-_ 4. Is H a subspace of R2? You should be able tojustify your answer bywn'ting a complete. coherent, and detailed proof based on your answers to pads 13. choose v: (1 point) Let H be the subset of R3 of all points on the plane 72 + 6y + 3z = 0. Is H a subspace of R3? 1- Does. H cor-sir.- the is? WOW? R\"? choose v 2. Is H closeo under addition? If it is, enter CLOSED. If it is not, enter two vectors in H whose sum is not in H, using a comma separated list and syntax such as _ 4. Is H a subspace or R3? You should be able to justify your answer by writing a complete, coherent, and detailed proof based on your answers to parts 173. choose v

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