Indicate whether each statement is always true or sometimes false. Justify your answer by giving a logical argument or a counterexample.
Indicate whether each statement is always true or sometimes false. Justify your answer by giving a logical argument or a counterexample.
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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Plz solve 6
Transcribed Image Text:6. Indicate whether each statement is always true or sometimes false. Justify your answer
by giving a logical argument or a counterexample.
(a) A linearly dependent set of vectors in an inner product space cannot be orthonor-
mal.
1
(b) Every finite-dimensional vector space has an orthonormal basis.
(c) projwu is orthogonal to projw+u in any inner product space.
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