A system of the form a 1 x + b 1 y = 0 a 2 x

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A system of the form

a₁x + b₁y = 0
a₂x + b₂y = 0,

in which the constants on the right-hand side are all zero, is said to be homogeneous. Explain by geometric reasoning why such a system has either a unique solution or infinitely many solutions. In the former case, what is the unique solution?

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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: Jul 05, 2023 07:14 AM

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A system of the form a 1 x + b 1 y = 0 a 2 x

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

Differential Equations And Linear Algebra

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