Let b ER. Consider the following system: x+y+z=-1 4x + 2y + z 3 9x + 3y- b Using Gaussian elimination, which of the following is true? The system has no solution for any value of b The system has unique solution for b=16 The system has infinitely many solutions for any value of b

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 40EQ
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Let b ER. Consider the following system:
x+y+z=-1
4x + 2y + z 3
9x +3y = b
Using Gaussian elimination, which of the following is true?
O The system has no solution for any value of b
The system has unique solution for b=16
O The system has infinitely many solutions for any value of b
Transcribed Image Text:1FAlpQLSCHZS7py7-S815XbPrLQDRANyEXIN96ldbkyN1XI156kbX0ng/formResponse Let b ER. Consider the following system: x+y+z=-1 4x + 2y + z 3 9x +3y = b Using Gaussian elimination, which of the following is true? O The system has no solution for any value of b The system has unique solution for b=16 O The system has infinitely many solutions for any value of b
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