3. Same question for and the choice b = (³). 2x-y-z = b₁ x + 2z = b₂
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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Question
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How would I do #3? I included question 1 to show what question number 3 references.

Transcribed Image Text:in the case b =
3. Same question for
and the choice b =
A =
1
0
2
1
1
2
-1
3
"
4. Find the null space and column space of the matrices
0
1 1
-2
1 10 1
022-4
writing your answer in the sa
3
(³).
"
2x -y-z = b₁
X + 2z = b₂
B= =
"
an

Transcribed Image Text:fit.instructure.com/courses/607468/files/folder/Homework?preview=45948751
1. Consider the system A
What condition (if any) on b =
(43)
2
b=
find all solutions of the system using elimination and back substitution.
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
in the case b
x=y=b₁
2x + 3y = b₂
3x + 2y = b3
0
b2
z2tb₁
+ t = b₂
2y + 2z-4t=b3
+ z = 3t = b4
Find the condition on b (if any) so that the system is solvable, and find all solutions
-X
is needed to ensure the system is solvable? For
x + y
y+
writing your answer in the same form as in Problem 1
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