Q7. A. Show that (x, y) = 5x1yı-9x2y2 for vectors x (x, x2) and y %3D defines an inner product. C. Let V be P2 with the inner product given by evaluation at -2, -1, 0,1 3t + 2, p2(t) = 2t2 +t and p3(t) = 3t2- 1. Find the orthogonal 1 %3D %3D the subspace spanned by p1 and p2-
Q7. A. Show that (x, y) = 5x1yı-9x2y2 for vectors x (x, x2) and y %3D defines an inner product. C. Let V be P2 with the inner product given by evaluation at -2, -1, 0,1 3t + 2, p2(t) = 2t2 +t and p3(t) = 3t2- 1. Find the orthogonal 1 %3D %3D the subspace spanned by p1 and p2-
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 78E: Let S={v1,v2,v3} be a set of linearly independent vectors in R3. Find a linear transformation T from...
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