Chapter 6 Solutions

Elementary Linear Algebra: Applications Version

Ch. 6.1 - Let R2 have the weighted Euclidean inner product...

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Inner Product Spaces; Author: Jeff Suzuki: The Random Professor;https://www.youtube.com/watch?v=JzCZUx9ZTe8;License: Standard YouTube License, CC-BY

Let R 2 have the weighted Euclidean inner product ⟨ u , v ⟩ = 2 u 1 v 1 +3u 2 v 2 and let u = (1, 1), v = (3, 2), w = (0, −1), and k = 3. Compute the stated quantities a. ⟨ u , v ⟩ b. ⟨ k v , w ⟩ c. ⟨ u + v , w ⟩ d. ‖ v ‖ e. d ( u , v ) f. ‖ u − k v ‖

Solution Summary: The author calculates the value of u,v based on the weighted Euclidean inner product and the scalar.

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Chapter 6 Solutions