Let T : P3 → R' be defined by За — 2b + 2с+d | T (ax3 + bæ? + cx + d) а — с — 2d . Let u = r³ – 2, B = {1, x, x² , #³ }, and 2а + с — 2d C = 3 -2 2 1 Given [T -2 -3 -3 ,use the Fundamental Theorem of Matrix Representations to find 1 2 Pe(T(u)). Ex: 5 : Pc(T(u)) =
Let T : P3 → R' be defined by За — 2b + 2с+d | T (ax3 + bæ? + cx + d) а — с — 2d . Let u = r³ – 2, B = {1, x, x² , #³ }, and 2а + с — 2d C = 3 -2 2 1 Given [T -2 -3 -3 ,use the Fundamental Theorem of Matrix Representations to find 1 2 Pe(T(u)). Ex: 5 : Pc(T(u)) =
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.
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