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Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions. x + 2y – z = 3 3x – y + 2z = 3 4x + y + (a² – 8)z = a + 3 %3D For a = i there is no solution. For a = i there are infinitely many solutions. For a# + i the system has exactly one solution.

Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions. x + 2y – z = 3 3x – y + 2z = 3 4x + y + (a² – 8)z = a + 3 %3D For a = i there is no solution. For a = i there are infinitely many solutions. For a# + i the system has exactly one solution.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Determine the values of a.

Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions. x + 2y – z = 3 Зх — у + 2z %3D3 4x + y + (a² – 8)z = a + 3 For a = i there is no solution. For a = i there are infinitely many solutions. For a#+ i the system has exactly one solution.
Transcribed Image Text:Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions. x + 2y – z = 3 Зх — у + 2z %3D3 4x + y + (a² – 8)z = a + 3 For a = i there is no solution. For a = i there are infinitely many solutions. For a#+ i the system has exactly one solution.
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