Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...
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Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions.
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Your answer is incorrect.
Determine the values of a for which the system has no solutions, exactly one solution
x + 3y – 2z = 5
2x - y + 2z = 3
5x + 8y + (a² - 13)z = a + 15
%3D
For a =
i
! there is no solution.
For a = i
! there are infınitely many solutions.
For a ++ i
! the system has exactly one solution.
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Transcribed Image Text:Current Attempt in Progress Your answer is incorrect. Determine the values of a for which the system has no solutions, exactly one solution x + 3y – 2z = 5 2x - y + 2z = 3 5x + 8y + (a² - 13)z = a + 15 %3D For a = i ! there is no solution. For a = i ! there are infınitely many solutions. For a ++ i ! the system has exactly one solution. eTextbook and Media Hint
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