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a 2 a 1 a 10 a 162 1 a) Calculate the determinant of the coefficient matrix. What condition must b fulfil, so that the SLE has no or infinitely many solutions? b) Replace b by the condition you found in a) and solve the SLE with GE. For which value for a does the SLE have infinitely many solutions? c) Insert the value for a you found in b) and give the infinitely many solutions as the para- meter description of a line.

a 2 a 1 a 10 a 162 1 a) Calculate the determinant of the coefficient matrix. What condition must b fulfil, so that the SLE has no or infinitely many solutions? b) Replace b by the condition you found in a) and solve the SLE with GE. For which value for a does the SLE have infinitely many solutions? c) Insert the value for a you found in b) and give the infinitely many solutions as the para- meter description of a line.

Advanced Engineering Mathematics
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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a 2 a a 10 162 1 a 1 a) Calculate the determinant of the coefficient matrix. What condition must b fulfil, so that the SLE has no or infinitely many solutions? b) Replace b by the condition you found in a) and solve the SLE with GE. For which value for a does the SLE have infinitely many solutions? c) Insert the value for a you found in b) and give the infinitely many solutions as the para- meter description of a line.
Transcribed Image Text:a 2 a a 10 162 1 a 1 a) Calculate the determinant of the coefficient matrix. What condition must b fulfil, so that the SLE has no or infinitely many solutions? b) Replace b by the condition you found in a) and solve the SLE with GE. For which value for a does the SLE have infinitely many solutions? c) Insert the value for a you found in b) and give the infinitely many solutions as the para- meter description of a line.
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