1. Tis a linear transformation on R³ and defined by T(x,y,z)=(2y+z, x-4y, 3x). Find the matrix of T relative to the basis B={(1,1,1), (1,1,0), (1,0,0) and standard basis in R³.

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 44E: Let T:P2P4 be the linear transformation T(p)=x2p. Find the matrix for T relative to the bases...
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1. Tis a linear transformation on R³ and defined by
T(x,y,z)=(2y+z, x-4y, 3x).
Find the matrix of T relative to the basis B={(1,1,1), (1,1,0), (1,0,0) and standard basis in R'.
Transcribed Image Text:1. Tis a linear transformation on R³ and defined by T(x,y,z)=(2y+z, x-4y, 3x). Find the matrix of T relative to the basis B={(1,1,1), (1,1,0), (1,0,0) and standard basis in R'.
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