b2 1 -3 2 Let A = -25 [b1] -1 and b 3-3-12 = b3 Determine if the equation Ax = b is consistent for all possible b1, b2, b3. If the equation is not consistent for all possible b1, b2, b3, give a description of the set of all b for which the equation is consistent (i.e., a condition which must be satisfied by b₁, b2, b3 ). Equation is consistent for all b1, b2, b3 satisfying -3b1 + b3 = 0. Equation is consistent for all b₁, b₂, b3 satisfying -b₁ + b₂+ b3 = 0. Equation is consistent for all b1, b2, b3 satisfying 9b1 + 6b2+ b3 = 0. Equation is consistent for all possible b1, b2, b3.
b2 1 -3 2 Let A = -25 [b1] -1 and b 3-3-12 = b3 Determine if the equation Ax = b is consistent for all possible b1, b2, b3. If the equation is not consistent for all possible b1, b2, b3, give a description of the set of all b for which the equation is consistent (i.e., a condition which must be satisfied by b₁, b2, b3 ). Equation is consistent for all b1, b2, b3 satisfying -3b1 + b3 = 0. Equation is consistent for all b₁, b₂, b3 satisfying -b₁ + b₂+ b3 = 0. Equation is consistent for all b1, b2, b3 satisfying 9b1 + 6b2+ b3 = 0. Equation is consistent for all possible b1, b2, b3.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![b2
1 -3 2
Let A = -25
[b1]
-1 and b
3-3-12
=
b3
Determine if the equation Ax = b is consistent for all possible b1, b2, b3. If the
equation is not consistent for all possible b1, b2, b3, give a description of the set of all
b for which the equation is consistent (i.e., a condition which must be satisfied by b₁,
b2, b3 ).
Equation is consistent for all b1, b2, b3 satisfying -3b1 + b3 = 0.
Equation is consistent for all b₁, b₂, b3 satisfying -b₁ + b₂+ b3 = 0.
Equation is consistent for all b1, b2, b3 satisfying 9b1 + 6b2+ b3 = 0.
Equation is consistent for all possible b1, b2, b3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f35a07c-a5eb-4d79-bb69-5908bd1ff29b%2F6448cf03-66e4-40d8-bcc9-a11ceeb033a3%2F35k7ry7_processed.png&w=3840&q=75)
Transcribed Image Text:b2
1 -3 2
Let A = -25
[b1]
-1 and b
3-3-12
=
b3
Determine if the equation Ax = b is consistent for all possible b1, b2, b3. If the
equation is not consistent for all possible b1, b2, b3, give a description of the set of all
b for which the equation is consistent (i.e., a condition which must be satisfied by b₁,
b2, b3 ).
Equation is consistent for all b1, b2, b3 satisfying -3b1 + b3 = 0.
Equation is consistent for all b₁, b₂, b3 satisfying -b₁ + b₂+ b3 = 0.
Equation is consistent for all b1, b2, b3 satisfying 9b1 + 6b2+ b3 = 0.
Equation is consistent for all possible b1, b2, b3.
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