Find all possible values of k such that system (1) (i) has a unique solution; (ii) has no solutions; (iii) has infinitely many solutions.
Find all possible values of k such that system (1) (i) has a unique solution; (ii) has no solutions; (iii) has infinitely many solutions.
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:5. Let k be a real number. Consider the following linear system:
x + y + z = k
kx + y + 2z = 2
x + ky + z = 4
Find all possible values of k such that system (1)
(i) has a unique solution;
(ii) has no solutions;
(iii) has infinitely many solutions.
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