Problem 8 1 Point Let H Subset Vectors Y R3 2x 3y 7z 0 1 H Nonempty Choose 2 H Closed Addi Q29264771

Problem 8. (1 point) Let H be the subset of vectors | y | in R3 such that-2x + 3y + 7z-0 1. Is H nonempty? 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 [1,2,31,[4,5,6]. 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 H whose product is not in H, using a comma separated list and syntax such as 2, [3,4,5]. 4. Is H a subspace of the vector space R3? choose Note: In order to get credit for this problem all answers must be correct. Show transcribed image text