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Ideals with Rings

Let R={[a 0] | a,c,d ε Z } and define I={[m 0] | m,n ε Z}.
[c d] [n 0]
(ii) Is I an ideal in M2(Z)={[a b] | a,b,c,d ε Z}? Why or why not?
[c d]
I did part (i). So, I only need help on part (ii)
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Ideals are investigated. The response received a rating of "5" from the student who originally posted the question.