Determine which of the following is a subsp {p(x) E P3 | p'(-3) < 0} {A E R2X2 | det(A) = 0} {X = (x1, x2, X3, X4) E R* | x - 2x2 +3

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 18CM
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Determine which of the following is a subspace.
(i) W1 = {p(x) E P3 | p'(-3) < 0}
(ii) W2 = {A E R²x2 | det(A) = 0}
(iii) W3 = {X = (x1, x2, X3, X4) E R* | x1 - 2x2 + 3x3 - 4x4 = 0}
%3D
Justify your answer !!!
Transcribed Image Text:Determine which of the following is a subspace. (i) W1 = {p(x) E P3 | p'(-3) < 0} (ii) W2 = {A E R²x2 | det(A) = 0} (iii) W3 = {X = (x1, x2, X3, X4) E R* | x1 - 2x2 + 3x3 - 4x4 = 0} %3D Justify your answer !!!
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