Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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linear algebra, please help.

 

result 6.25 if e1,...,em is  an orthonormal list of vectors in V, then ||a1*e1+....+am*em||^2 = |a1|^2+....+|am|^2 for all a1...am∈F

Let e1, e2,..., en be an orthonormal list of vectors in an inner product space V over F. For any choice of a1,..., an E F, show that a ej and aze2+...+a,en are orthogonal. (This result is needed for the proof of Result 6.25.)
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Transcribed Image Text:Let e1, e2,..., en be an orthonormal list of vectors in an inner product space V over F. For any choice of a1,..., an E F, show that a ej and aze2+...+a,en are orthogonal. (This result is needed for the proof of Result 6.25.)
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