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Consider R' endowed with the inner product (u, v) -u̟ V1 + U2V2 + 54303. (1, 0, 1) and note that B = {v1, V2, V3} (0, 1, 0), v2 = (1, 0, – 1) and v3 = is an orthonormal basis with respect to the given inner product. Define vị = Let u :(2,4, 6). If you write u as a linear combination of the elements of B, what is the coefficient appearing in front of v3? Answer:

Consider R' endowed with the inner product (u, v) -u̟ V1 + U2V2 + 54303. (1, 0, 1) and note that B = {v1, V2, V3} (0, 1, 0), v2 = (1, 0, – 1) and v3 = is an orthonormal basis with respect to the given inner product. Define vị = Let u :(2,4, 6). If you write u as a linear combination of the elements of B, what is the coefficient appearing in front of v3? Answer:

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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Consider R' endowed with the inner product 1 1 (u, v) zu1 V1 + Uz V2 + zU3V3. 2 Define vị = (0, 1, 0), v2 (1,0, –1) and v3 = (1,0, 1) and note that B {V1, V2, V3} is an orthonormal basis with respect to the given inner product. Let u = (2, 4, 6). If you write u as a linear combination of the elements of B, what is the coefficient appearing in front of v3? Answer:
Transcribed Image Text:Consider R' endowed with the inner product 1 1 (u, v) zu1 V1 + Uz V2 + zU3V3. 2 Define vị = (0, 1, 0), v2 (1,0, –1) and v3 = (1,0, 1) and note that B {V1, V2, V3} is an orthonormal basis with respect to the given inner product. Let u = (2, 4, 6). If you write u as a linear combination of the elements of B, what is the coefficient appearing in front of v3? Answer:
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