Show that this set of matrices is a ring without identity

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I am given the set of infinite-by-infinite matrices with real entries that have only finitely many nonzero entries. Also, the matrix has entries a_ij, where i and j are natural numbers and there is a natural number n such that a_ij = 0 if i >= n or j >= n.

I need to understand how to show that this set of matrices is a ring without identity element.

Reference no: EM131027732

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