Could somebody answer part 2 of this question Thank you C Ri

Could somebody answer part (2) of this question?

Thank you

C. Ring of 2 X 2 Matrices Let M 2(R) designate the set of all 2 x 2 matrices whose entries are real numbers a. b, c, and d, with the following addition and multiplication: 1 Verify that M 2(R) satisfies the ring axioms. 2 Show that .M2(R) s not commutative and has a unity. 3 Explain why M2(R) is not an integral domain or a field.

Solution

2.A commutative ring with unity is a commutative ring with an element such that a