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Assignment 8 Problem 16 1 point Let V R2 and let H be the subset...

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Algebra

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Assignment 8 Problem 16 1 point Let V R2 and let H be the subset of V of all points on the line 3x 2y 6 Is H a subspace of the vector space V 1 Does H contain the zero vector of V choose 2 Is H closed 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 1 2 3 4 3 Is H closed under scalar multiplication If it is enter CLOSED If it is not enter a scalar in IR and a vector in H whose product is not in H using a comma separated list and syntax such as 2 3 4 4 Is H a subspace of the vector space V You should be able to justify your answer by writing a complete coherent and detailed proof based on your answers to parts 1 3 choose

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