Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions. x + 3y - 2z = 2 2x = y + 2z = 3 5x + 8y + (a²-13) z = a + 6 For a = i For a = i For at i there is no solution. there are infinitely many solutions. 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 + 3y - 2z = 2 2x = y + 2z = 3 5x + 8y + (a²-13) z = a + 6 For a = i For a = i For at i there is no solution. there are infinitely many solutions. the system has exactly one solution.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions.
x + 3y - 2z = 2
2xy + 2z = 3
5x + 8y + (a²-13) z = a + 6
For a =
For a = i
For a # ± i
there is no solution.
there are infinitely many solutions.
the system has exactly one solution.
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