Let TV V be a linear map. Consider two distinct bases of V: B = 1, V2, V3) and C = (v₁, v2 + v3, v2 — v3). Determine the matrix of change of bases P such that [T]c = P−¹ × [T]ß × P. /1 0 0 1 O O O P || = P = P P = IL 0 0 1 1 1 -1 0 1 0 0 1 -1 0 1 1 00 - 1212 HIN 0 0
Let TV V be a linear map. Consider two distinct bases of V: B = 1, V2, V3) and C = (v₁, v2 + v3, v2 — v3). Determine the matrix of change of bases P such that [T]c = P−¹ × [T]ß × P. /1 0 0 1 O O O P || = P = P P = IL 0 0 1 1 1 -1 0 1 0 0 1 -1 0 1 1 00 - 1212 HIN 0 0
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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