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Consider the canonical basis {ei, e, es} of R³ and let F = {₁, 2, 3} be defined by = (1, 0,-1), 2= (0, 1, 2) and 3 = (2,1,1). Find a linear map 4: R³ → R³ such that y(i) = f for i = 1, 2, 3.

Consider the canonical basis {ei, e, es} of R³ and let F = {₁, 2, 3} be defined by = (1, 0,-1), 2= (0, 1, 2) and 3 = (2,1,1). Find a linear map 4: R³ → R³ such that y(i) = f for i = 1, 2, 3.

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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Consider the canonical basis {e}, ez, es} of R³ and let F {F1, F2, F3} be defined by = fi = (1, 0, -1), 2= (0, 1, 2) and 3 = (2,1,1). 3 Find a linear map : R³ → R³ such that y() = f for i = 1, 2, 3. 4
Transcribed Image Text:Consider the canonical basis {e}, ez, es} of R³ and let F {F1, F2, F3} be defined by = fi = (1, 0, -1), 2= (0, 1, 2) and 3 = (2,1,1). 3 Find a linear map : R³ → R³ such that y() = f for i = 1, 2, 3. 4
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