16.1.14. Let R = M2×2 (R) be the ring of two-by-two matrices with real entries. [0 b [a b] Let S = { | a, b = R} and T = { 0 a 00 [o of] b € R} . (a) Are T and S subrings of R? (b) Is T an ideal of S? Is T an ideal of R? Is S an ideal of R?

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