Solved: Coefficient Design In Exercises 51 and 52, find

Chapter 1, Problem 52

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Coefficient Design In Exercises 51 and 52, find values of a, b, and c (if possible) such that the system of linear equations has (a) a unique solution, (b) no solution, and (c) infinitely many solutions.

\(\begin{aligned} x+y &=0 \\ y+z &=0 \\ x+z &=0 \\ a x+b y+c z &=0 \end{aligned} \)

Text Transcription:

x+y =0

y+z =0

x+z =0

a x+b y+c z =0

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