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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.
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Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type N if the solution is the empty set.
S is a subspace of C[0,1] formed by Span(xsinx, xcosx,sinx,cosx)and L is the differential operator: L(f(x)=f'x(x). Note use the vectors forming the span as basic vectors
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