(13) Let R be the set of all matrices with rational entries, M₁(Q), of the form abe 0 a b 00 a Show that (i) R is a commutative ring. (ii) the set is an ideal of R. (iii) A is a maximal ideal of R. (iv) the mapping 4: A is a homomorphism. 0bc 00 b 000 : R Q given by e abe 0 ab 00 a :b.ce Q -

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