2. Let a, b and c be real numbers. Consider the system of linear equations that has augmented matrix: 1 2 02 0 0 00 3 1 6+2 0 2 -3 b a 0 0 c²1c+1 (a) For which values of a, b, and c is the system inconsistent? Justify. (b) For which values of a, b, and c is the system consistent with unique solution? Justify. (c) For which values of a, b, and c is the system consistent with infinitely many solutions? Justify.
2. Let a, b and c be real numbers. Consider the system of linear equations that has augmented matrix: 1 2 02 0 0 00 3 1 6+2 0 2 -3 b a 0 0 c²1c+1 (a) For which values of a, b, and c is the system inconsistent? Justify. (b) For which values of a, b, and c is the system consistent with unique solution? Justify. (c) For which values of a, b, and c is the system consistent with infinitely many solutions? Justify.
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:2. Let a, b and c be real numbers. Consider the system of linear equations that has augmented
matrix:
1
0
0
0
3
1
06+2
2
2
2
- 3
b
a
0
0
00c²
c²-1 c+1
(a) For which values of a, b, and c is the system inconsistent? Justify.
(b) For which values of a, b, and c is the system consistent with unique solution? Justify.
(c) For which values of a, b, and c is the system consistent with infinitely many solutions?
Justify.
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