Let u = (1, –3) and v = (2,5) in R². (a) Find (u, v) and ||v|| with respect to the standard inner product on R?. (b) Find (u, v) and ||v|| with respect to the inner product defined on R? by ((T1, 12), (Y1, Y2)) = x1Y1 – 201Y2 – 202Y1 + 5x2Y2. -
Let u = (1, –3) and v = (2,5) in R². (a) Find (u, v) and ||v|| with respect to the standard inner product on R?. (b) Find (u, v) and ||v|| with respect to the inner product defined on R? by ((T1, 12), (Y1, Y2)) = x1Y1 – 201Y2 – 202Y1 + 5x2Y2. -
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 12EQ
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for part a, please use the standard inner product, that is, the dot product on R^n
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