2. Show that P = {(a,-a, 0,0): a € Z} with addition and multiplication defined by (a,-a, 0,0) + (b, -b, 0,0) = (a + b, -a- b,0,0) (a, -a, 0, 0) (b, -b, 0,0) = (ab, -ab, 0,0) is a subring of M in #1. Is P commutative or non-commutative? Why?

Q: 5.

A:

Q: Number 27

A:

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A:

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