Suppose that the linear systeman+a122 +a21x1 + a22x2 +-has a solution xi (₁,...,xn) for each ca solution x for each c in Span(c₁,..., C₂).akıx1+ak2k +...+ aknan=+ ann+ a2nxn(C₁, C2,..CLC₂Ck2,..., Ck) in {c₁,..., Cn}. Prove that the linear system has

The given linear system is: a11x1+a12x2+…+a1nxn=c1a21x1+a22x2+…+a2nxn=c2⋮=⋮ak1x1+ak2x2+…+aknxn=ck…

Answered: Suppose that the linear system an+a12x2…

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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Suppose that the linear system an+a12x2 + a211 + a22x2 + + ann + a₂nIn C₁ C₂ Ck akıx1+ak2k +...+ akn In has a solution X₂ = (₁, ..., æn) for each c₂ = (C₁, C₂, ..., C) in {c₁,..., cn}. Prove that the linear system has a solution x for each c in Span(c₁,..., C₂).