Solve the problem. 1-3 21 Let A = -2 5 -1 and b= 3-4 5 b1 b2 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 by, by, b3). Equation is consistent for all b₁, b2, b3 satisfying -3b₁ + b3 = 0. . Equation is consistent for all possible by, by, b3. Equation is consistent for all bi, b2. b3 satisfying 7b₁ + 5b₂ + b3 = 0. Equation is consistent for all b₁, b2, b3 satisfying 2b₁ + b₂ = 0.
Solve the problem. 1-3 21 Let A = -2 5 -1 and b= 3-4 5 b1 b2 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 by, by, b3). Equation is consistent for all b₁, b2, b3 satisfying -3b₁ + b3 = 0. . Equation is consistent for all possible by, by, b3. Equation is consistent for all bi, b2. b3 satisfying 7b₁ + 5b₂ + b3 = 0. Equation is consistent for all b₁, b2, b3 satisfying 2b₁ + b₂ = 0.
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:Solve the problem.
1-3 21
Let A = -2 5 -1 and b=
3-4 5
b1
b2
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 by, b2, b3).
Equation is consistent for all b₁, b2, b3 satisfying -3b₁ + b3 = 0..
Equation is consistent for all possible by, bą, b3.
Equation is consistent for all b₁, b2. b3 satisfying 7b₁ + 5b₂ + b3 = 0.
Equation is consistent for all b₁, b2, b3 satisfying 2b₁ + b₂ = 0.
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