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The set of column vectors with three components R is a vector space with the standard operations. Problem setting Consider the linear map o(:) : R → R° defined as: -3 x +6 x2 2 13 4 x1 – 2 13 -7x +7x2 Problem task Identify all basis G such that the matrix representation of ø from basis G to basis G i.e, Ra c(¢) is given with the matrix (-43 146 165 RG-cØ) 2 -8 -8 -12 49 48 Hints It is a trivial task to find/identify the matrix RpE(0). As matrices (RE-G(id)) = RG-E(id) %3D

The set of column vectors with three components R is a vector space with the standard operations. Problem setting Consider the linear map o(:) : R → R° defined as: -3 x +6 x2 2 13 4 x1 – 2 13 -7x +7x2 Problem task Identify all basis G such that the matrix representation of ø from basis G to basis G i.e, Ra c(¢) is given with the matrix (-43 146 165 RG-cØ) 2 -8 -8 -12 49 48 Hints It is a trivial task to find/identify the matrix RpE(0). As matrices (RE-G(id)) = RG-E(id) %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Recall The set of column vectors with three components R is a vector space with the standard operations. Problem setting Consider the linear map o(:) : R → R° defined as: -3 x +6 x2 – 2x3 4 x- 2 x3 -7 x +7x2 Problem task Identify all basis G such that the matrix representation of o from basis G to basis G i.e., RG g¢)is given with the matrix -43 146 165 RG G(0) = -8 -8 12 49 48 Hints It is a trivial task to find/identify the matrix Rp,E($). As matrices (RE-G (id)) = RG-E(id) Lütfen birini seçin:
Transcribed Image Text:Recall The set of column vectors with three components R is a vector space with the standard operations. Problem setting Consider the linear map o(:) : R → R° defined as: -3 x +6 x2 – 2x3 4 x- 2 x3 -7 x +7x2 Problem task Identify all basis G such that the matrix representation of o from basis G to basis G i.e., RG g¢)is given with the matrix -43 146 165 RG G(0) = -8 -8 12 49 48 Hints It is a trivial task to find/identify the matrix Rp,E($). As matrices (RE-G (id)) = RG-E(id) Lütfen birini seçin:
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