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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

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

Advanced Engineering Mathematics
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 Ebk = B then (a) Ek=1cak cE=1ak = cA (b) Σe(ak + bk) = Σe1ak + Σ1bk = A + B 'k=1
Transcribed Image Text:Prove that if E,ak A and Ebk = B then (a) Ek=1cak cE=1ak = cA (b) Σe(ak + bk) = Σe1ak + Σ1bk = A + B 'k=1
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