Consider the system, a 1 x + b 1 y + c 1 z = d 1

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Consider the system, a₁x + b₁y + c₁z = d₁, a₂x + b₂y + c₂z = d₂of two equations in three unknowns.

(a) Use the fact that the graph of each such equation is a plane in xyz-space to explain why such a system always has either no solution or infinitely many solutions.

(b) Explain why the system must have infinitely many solutions if d₁ = 0 = d₂.

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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Question Posted: Aug 16, 2023 07:24 AM

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Consider the system, a 1 x + b 1 y + c 1 z = d 1

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a b The graph of each of these linear equations in x y and z is a ...View the full answer

Differential Equations And Linear Algebra

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