Question: The preceding exercise may fail if the terms are not positive. For example, let aij := +1 if i - j = 1, aij :=

The preceding exercise may fail if the terms are not positive. For example, let aij := +1 if i - j = 1, aij := -1 if i - j = -1, and aij := 0 elsewhere. Show that the iterated sums
α j=1 =1 and aυ =i j=1 ΣΣ ΣΣ

Both exist but are not equal.

j=1 =1 and a =i j=1

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