Let (e, ez, e3, e4) be the standard basis for R, and let T:R - R be the linear transformation for whichT(e) = (1,5,1), T(e2) = (0,1,0),T(e3) = (1,6,0), T(e) = (1,1,1)Find the rank and nullity of T.rank(T) =nullity(7) =Click if you would like to Show Work for this question: Open Show Work

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Let (e, ez, e3, e4) be the standard basis for R, and let T:R - R be the linear transformation for which T(e) = (1,5,1), T(e2) = (0,1,0), T(eg) = (1,6,0), T(e) = (1,1,1) Find the rank and nullity of T. rank(T) = nullity(T) = Click if you would like to Show Work for this question: Open Show Work

Let (e, ez, e3, e4) be the standard basis for R, and let T:R - R be the linear transformation for which T(e) = (1,5,1), T(e2) = (0,1,0), T(eg) = (1,6,0), T(e) = (1,1,1) Find the rank and nullity of T. rank(T) = nullity(T) = Click if you would like to Show Work for this question: Open Show Work

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 11CM

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Question

Let (e, ez, e3, e4) be the standard basis for R, and let T:R - R be the linear transformation for which
T(e) = (1,5,1), T(e2) = (0,1,0),
T(e3) = (1,6,0), T(e) = (1,1,1)
Find the rank and nullity of T.
rank(T) =
nullity(7) =
Click if you would like to Show Work for this question: Open Show Work

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