Let Rị and R2 be relations on a set A represented by the matrices [o i o° | 1 1 1 1 0 0 0 1 1 1 MRI and MR: a) R¡U R2. d) Rj 0 Rj. Find the matrices that represent b) RịN R2. e) R¡ Ð R2. c) R2o R1.

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A: Use the values given above for substitution after simplifying the problem.

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Q: ) Suppose that v is a vector in R" such that u - v = 0 for every u e R". Prove that v = 0.

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A: This is a vector projection..,..  Solution is as follows

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A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

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Q: Which of the following is vector projections of i-j onto i+k? O a. ži + žk O b. i+ * O c.1/v2 O d.…

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Q: Please see image

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Q: 6. Let V be an inner product vector space. (A) For any u, v E V , assume that (u, v) E R. Prove the…

A: Given that V be an inner product vector spaceA) u,v∈V, prove the identityu,v=14u+v2-14u-v2