(a) Let S {C ): a, 6, c e Z, where 0 denotes the usual integer zero. Given that S is a ring under the usual matrix addition and multiplication operations, prove that: - {(: ") - 0 0 J = : T, Y E Z is an ideal of the ring S.

Q: 2 Consider the bases B₁ and B₂. 2 -3 -7 4 {{³][])} {₁ 6 -5 B₁ = Find [x]B₂ if [x]B₁ 2 [²]. 6

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