2. Same question for in the case b = TNOT 2 Find the condition on b (if any) so that the system is solvable, and find all solutions 1 1 2 y+ z2t=b₁ + t = b₂ x + y -X 2y + 2x - 4t=b3 +z3t=b4 writing your answer in the same form as in Problem 1.

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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How do I do number 2?
1. Consider the system
What condition (if any) on b =
b=
- (3)
b3
4
(²).
-2 find all solutions of the system using elimination and back substitution.
2
in the case b =
x=y=b₁
2x + 3y = b₂
3x + 2y = b3
Write your answer in the form v = Vp + Vn, where vp is a particular solution, and the
null solution vn is a linear combination of special null solutions.
2. Same question for
2 Same question for
2
is needed to ensure the system is solvable? For
-x
z2t=b₁
+ t = b₂
2y + 2z-4t=b3
+z3t = b4
x + y
Find the condition on b (if any) so that the system is solvable, and find all solutions
1
y+
writing your answer in the same form as in Problem 1.
Transcribed Image Text:1. Consider the system What condition (if any) on b = b= - (3) b3 4 (²). -2 find all solutions of the system using elimination and back substitution. 2 in the case b = x=y=b₁ 2x + 3y = b₂ 3x + 2y = b3 Write your answer in the form v = Vp + Vn, where vp is a particular solution, and the null solution vn is a linear combination of special null solutions. 2. Same question for 2 Same question for 2 is needed to ensure the system is solvable? For -x z2t=b₁ + t = b₂ 2y + 2z-4t=b3 +z3t = b4 x + y Find the condition on b (if any) so that the system is solvable, and find all solutions 1 y+ writing your answer in the same form as in Problem 1.
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