Let T: R³ → R² be a linear transformation. If it is known that Img (T) = CL {(_^), (8)}, t then whichone is true?a. dim (Nuc(T)) = 0b. dim (Nuc(T)) = 1c. dim (Nuc(T)) = 3d. dim (Nuc(T)) = 2

Given T:R^3 to R^2. ....(1) And img(T)=CL{(4,-4),8,-8)} ...(2) By (1), T is 2*3 matrix As we…

Answered: Let T: R³ → R² be a linear…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.CR: Review Exercises

Problem 21CR: Let T be a linear transformation from R2 into R2 such that T(4,2)=(2,2) and T(3,3)=(3,3). Find...

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Let T: R³ → R² be a linear transformation. If it is known that Img (T) = CL {(_^), (8)}, t then which one is true? a. dim (Nuc(T)) = 0 b. dim (Nuc(T)) = 1 c. dim (Nuc(T)) = 3 d. dim (Nuc(T)) = 2