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Please provide detailed stepsby steps. Prove or disprove the following. (a) Let V be a subspace of R. Then (Vi)i = V. (b) Let W

Please provide detailed stepsby steps.

Prove or disprove the following. (a) Let V be a subspace of R". Then (Vi)i = V. (b) Let W be a subspace of R\". Then the orthogonal projection on W is injective. (c) Let W be a subspace of R\". Then the orthogonal projection on W is surjective

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