Question: Can someone help solve this question with extensive mathematical writing Show that S= xER4 : 821 + 712 +913 + 724 =0 is a subspace

Can someone help solve this question with extensive mathematical writing

Show that S= xER4 : 821 + 712 +913 + 724 =0 is a subspace of IR4. To check that you are on the right track, answer the following questions. . Is S a subset of a known vector space? Yes . Does S contain the zero element? Yes . Is S closed under vector addition? Yes . Is S closed under scalar multiplication? Yes

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