Consider the following system in unknowns x, y, z : x – 2y = 1; x – y + az = 2; ay + 9z = b. For which values of a does the system have a unique solution, and for which pairs of values (a,b) does the system have more than one solution? The value ofb does not have any effect on whether the system has a unique solution. Why?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following system in unknowns x, y, z :
x – 2y = 1; x – y + az = 2; ay + 9z = b.
For which values of a does the system have a unique solution, and
for which pairs of values (a,b) does the system have more than
one solution? The value ofb does not have any effect on whether
the system has a unique solution. Why?
Transcribed Image Text:Consider the following system in unknowns x, y, z : x – 2y = 1; x – y + az = 2; ay + 9z = b. For which values of a does the system have a unique solution, and for which pairs of values (a,b) does the system have more than one solution? The value ofb does not have any effect on whether the system has a unique solution. Why?
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