1. Let V be the set of all 2 x 2 matrices A= a. Is V close under addition? Show your proof. b. Is V close under scalar multiplication? Show your proof. c. What is the zero vector in V? d. Does every matrix A in V have a negative that is in V? Explain e. Is V a vector space? Explain such that the product abcd = 0 with standard operations on matrices

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