Prove that if E,akA and Ebk =B then(a)Ek=1cakcE=1ak = cA(b)Σe(ak + bk) = Σe1ak + Σ1bk = A + B'k=1

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Answered: Prove that if E,ak A and E bk = B then…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Prove that if E,ak A and E bk = B then (a) E=1cak cE=1ak = cA (b) (ak + bx) = Eak + E,bk = A+ B 'k=1 %c%=D1