Consider the set of matrices 0 S = {(a+b):abER} a, bЄR a ƒ ((8 a+b)) = a. Is f a (c) Consider the function f : S→ R defined as f homomorphism of rings? Justify your answer. (d) Consider the function g: S→ R defined as g (( a + b)) homomorphism of rings? Justify your answer. = b. Is ga

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A: Given the matrices A and B of order nxn.

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Q: Let A, B be 4 x 4 matrices. Find two matrices so that rank(A) = rank(B) = 2 and rank(AB) = 1. A = B…

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