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(12) The transformation is a linear transformation. (13) W is a subspace of R² where T(*) = (²+) w-{() **20} W (all vectors in R2 in which both entries are non-negative).

(12) The transformation is a linear transformation. (13) W is a subspace of R² where T(*) = (²+) w-{() **20} W (all vectors in R2 in which both entries are non-negative).

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}
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(12) The transformation is a linear transformation. (13) W is a subspace of R² where y T(*) = (²+1) w-{(:) z*20} W (all vectors in R2 in which both entries are non-negative).
Transcribed Image Text:(12) The transformation is a linear transformation. (13) W is a subspace of R² where y T(*) = (²+1) w-{(:) z*20} W (all vectors in R2 in which both entries are non-negative).
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