Let V be the vector space V = Span(e^(2x) , e^(3x) ). Given are the ordend basis defined by: B = {e^(2x), e^(3x)}, C = {e^(2x) − 3e^(3x), −e^(2x) + 4e^(3x)}, D = {2e^(2x) + 5e^(3x), e^(2x) + 3e^(3x)}.  Given is vector f(x) = 7e^(2x) − 8e^(3x) in V . Determine fB and fC.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let V be the vector space V = Span(e^(2x) , e^(3x) ). Given are the ordend basis defined by: B = {e^(2x), e^(3x)}, C = {e^(2x) − 3e^(3x), −e^(2x) + 4e^(3x)}, D = {2e^(2x) + 5e^(3x), e^(2x) + 3e^(3x)}.  Given is vector f(x) = 7e^(2x) − 8e^(3x) in V . Determine fB and fC.

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