Suppose T is a linear transformation, whereT(u)T(7)(1,0, 0)(1, – 1, 1)-(0, 1, 0)(3, – 5, – 1)(0, 0, 1)T(w)(3, – 3, 4)||Then T can be represented by the matrixT =||

Given: u→=1, 0, 0 T(u→)=1, -1, 1v→=0, 1, 0…

Answered: Suppose T is a linear transformation,…

Suppose T is a linear transformation, where (1, – 1, 1) T(u) T(7) (1, 0, 0) %3D (0, 1, 0) (3, – 5, – 1) || - (0, 0, 1) T(w) (3, – 3, 4) Then T can be represented by the matrix T

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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Question

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Suppose T is a linear transformation, where
T(u)
T(7)
(1,0, 0)
(1, – 1, 1)
-
(0, 1, 0)
(3, – 5, – 1)
(0, 0, 1)
T(w)
(3, – 3, 4)
||
Then T can be represented by the matrix
T =
||

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