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 None of these The system has infinitely many solutions for any value of b The system has unique solution for b=16 The system has no solution for any value of b The system does not have unique solution for any value of b

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.5: Cramer's Rule
Problem 35PS
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O We can interchange any two columns.
O We can add a multiple of a row to another row.
Let b E R. Consider the following system:
x + y + z = –1
{4x + 2y + z = 3
9x + 3y = b
Using Gaussian elimination, which of the following is true?
None of these
The system has infinitely many solutions for any value of b
The system has unique solution for b=16
The system has no solution for any value of b
OThe system does not have unique solution for any value of b
3
3
1.
Let k ERand A =
1.
Given that A=
2.
-4
2
Transcribed Image Text:O We can interchange any two columns. O We can add a multiple of a row to another row. Let b E R. Consider the following system: x + y + z = –1 {4x + 2y + z = 3 9x + 3y = b Using Gaussian elimination, which of the following is true? None of these The system has infinitely many solutions for any value of b The system has unique solution for b=16 The system has no solution for any value of b OThe system does not have unique solution for any value of b 3 3 1. Let k ERand A = 1. Given that A= 2. -4 2
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