Given is the following SLE: a 2 b 32a b2b 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 with the condition you found in a). 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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Given is the following SLE:
a 2 b
32 a
b2b
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 with the condition you found in a). 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:Given is the following SLE: a 2 b 32 a b2b 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 with the condition you found in a). 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.
Expert Solution
Step 1 to find determinant of coefficient matrix & condition for no or infinite solution.

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