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An inner product on R² is defined as (u, v) = (Au) · (Av), [ 3 where A : -3 (a) Is (1, –2) orthogonal to (4,2) with respect to this inner product? Explain. (b) Find d(5x, 7y), where x = (1, –1), and y = (0, 1).

An inner product on R² is defined as (u, v) = (Au) · (Av), [ 3 where A : -3 (a) Is (1, –2) orthogonal to (4,2) with respect to this inner product? Explain. (b) Find d(5x, 7y), where x = (1, –1), and y = (0, 1).

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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An inner product on R² is defined as (u, v) = (Au) · (Av), %3D 3 where A = 2 -3 Is (1, –2) orthogonal to (4,2) with respect to this inner product? Explain. Find d(5x, 7y), where x = (1, –1), and y = (0,1). (a) (b) %3D %3D
Transcribed Image Text:An inner product on R² is defined as (u, v) = (Au) · (Av), %3D 3 where A = 2 -3 Is (1, –2) orthogonal to (4,2) with respect to this inner product? Explain. Find d(5x, 7y), where x = (1, –1), and y = (0,1). (a) (b) %3D %3D
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