= [2a b] { []14, 2} and / - {[J]Izez). let I = Let R= (a)...

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= [2a b] { [²]14, 2} and / - {[J]Izez). let I = Let R= (a) Show that R is a subring of M₂(Z). (b) Determine whether I is an ideal of R. Consider the ideal I = {0, 6, 12, 18} of the ring R= Z24 = {0, 1, 2,..., 23). (a) Construct addition and multiplication tables for R/I. (b) Determine whether R/I is an integral domain. (c) Determine whether R/I is a field. = [2a b] { [²]14, 2} and / - {[J]Izez). let I = Let R= (a) Show that R is a subring of M₂(Z). (b) Determine whether I is an ideal of R. Consider the ideal I = {0, 6, 12, 18} of the ring R= Z24 = {0, 1, 2,..., 23). (a) Construct addition and multiplication tables for R/I. (b) Determine whether R/I is an integral domain. (c) Determine whether R/I is a field.