Let T: R3 →R3 be a linear operator and B = {v1, v2, V3} a basis for R3. Suppose - 5,T(v3) Lo] T(v1) : 2 ,T(v2) 1 -21 a. Determine whether w = 1 is in range of T. b. Find a basis for R(T). c. Find dim(N(T))

Let T: R3 →R3 be a linear operator and B = {v1, v2, V3} a basis for R3. Suppose - 5,T(v3) Lo] T(v1) : 2 ,T(v2) 1 -21 a. Determine whether w = 1 is in range of T. b. Find a basis for R(T). c. Find dim(N(T))

Name: Help me to solve this in detailed step Let T: R3 →R3 be a linear opera
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Description: Help me to solve this in detailed step Let T: R3 →R3 be a linear operator and B = {v1, v2, V3} a basis for R3. Suppose-5,T(v3)Lo]T(v1) :2,T(v2)1-21a. Determine whether w =1 is in range of T.b. Find a basis for R(T).c. Find dim(N(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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