Write the solution sets to the following homogeneous system of equations as a linear combination of their basic solutions. (а) ш + 2л + 5у + 52 3D 0 (b) — За1 + 6л2 + 5лз — 11г4 3 0 2w + 4x + 10y + 10z = 0 x1 – 2x2 + 4x4 = 0 w + 4y + z = 0 w – 6x – 2y – 11z = 0 2x1 – 4x2 – 6x3 + 11x4 = 0
Write the solution sets to the following homogeneous system of equations as a linear combination of their basic solutions. (а) ш + 2л + 5у + 52 3D 0 (b) — За1 + 6л2 + 5лз — 11г4 3 0 2w + 4x + 10y + 10z = 0 x1 – 2x2 + 4x4 = 0 w + 4y + z = 0 w – 6x – 2y – 11z = 0 2x1 – 4x2 – 6x3 + 11x4 = 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Write the solution sets to the following homogeneous system of equations as a linear combination of their
basic solutions.
(a) w+ 2x + 5y + 5z = 0
2w + 4.x + 10y + 10z = 0
(b) — Зл1 + 6лр + 5x3 — 11г4 3D0
x1 – 2x2 + 4x4 = 0
w + 4y + z = 0
w — 6х — 2у — 112 3D 0
2.x1 – 4x2 – 6x3 + 11x4 = 0
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