QUESTION 2 Let z = (z1, r) and y (y, 2) be vectors in the vector space C over C, and define ()C x C-→ C by (r. v) = 3r17, + (1 + 1)r17, + (1 – 1)r27, + r2], 2.1 Show that (,) is an inner product on C"

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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QUESTION 2
Let r = (71, r2) and y = (yı, y2) be vectors in the vector space C? over C, and define
(-) C x C - C by
2.1 Show that (,) is an inner product on C.
2.2 Apply the Gram-Schmidt orthogonalization process to {(1.0) (0, 1)} to conctruct an orthonor-
mal basis for C* with respect to ().
Transcribed Image Text:QUESTION 2 Let r = (71, r2) and y = (yı, y2) be vectors in the vector space C? over C, and define (-) C x C - C by 2.1 Show that (,) is an inner product on C. 2.2 Apply the Gram-Schmidt orthogonalization process to {(1.0) (0, 1)} to conctruct an orthonor- mal basis for C* with respect to ().
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