Determine whether the given set S is a subspace of the vector space V.A. V is the space of twice differentiable functions R → R, and S is the subset of V consisting of those functions satisfyingthe differential equation y" - 4y + 3y = 0.OB. V =R xn, and S is the subset of all symmetric matricesOC. V is the space of three-times differentiable functions R → R, and S is the subset of V consisting of those functionssatisfying the differential equation y" + 4y = x².OD. V = R nxn, and S is the subset of all n x n matrices with det(A) = 0.OE. V = R2, and S is the set of all vectors (X₁, X₂) in V satisfying 5x₁ + 6x₂ = 0.OF. VR5, and S is the set of vectors (X₁, X2, X3) in V satisfying x₁ - 6x₂ + x3 = 5.□G. V = P3, and S is the subset of P3 consisting of all polynomials of the form p(x) = ax³ + bx.

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Answered: Determine whether the given set S is a…

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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