Suppose that akj > 0 for k, j N. Set for each k N, and suppose that
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for each k N, and suppose that k=1 Ak converges.
a) Prove that
b) Show that
c) Prove that b) may not hold if akj has both positive and negative values.
Consider
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i j-k 0 otherwise.
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a Since a kj 0 0 N j1 a kj N j1 a kj A k for all N N Hence by the Compariso...View the full answer
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