To prove: set I = M 2 ( E ) = { [ a b c d ] | a , b , c , a n d d a r e i n E } of all 2 × 2 matrices over a ring E of even integers is an ideal of the ring M 2 ( ℤ ) .

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Chapter 6.1, Problem 26E

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To prove: set I=M2(E)={[abcd]|a,b,c, and d are in E} of all 2×2 matrices over a ring E of even integers is an ideal of the ring M2(ℤ).

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