Let R be the ring of all matrices of order 2 × 2 over integers and S be the set of 2 × 2 matrices of the form \(\begin{pmatrix}a&0\\b&0\end{pmatrix}\) where a, b are integers then

1
S is the left ideal 
2
S is the right ideal 
3
S is both left and right ideal
4
none of the above
5
Question Not Attempted

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