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3. Determine if b is a linear combination of a₁, a2, and a3. 2 3 a1 = 1 , A2 = 2 , az = 1 b= 4 1 1 0 4. Show that the equation Ax=b does not have a solution for all possible b, and describe the set of all b for which Ax=b does have a solution. 6 A = and b = -3 2

3. Determine if b is a linear combination of a₁, a2, and a3. 2 3 a1 = 1 , A2 = 2 , az = 1 b= 4 1 1 0 4. Show that the equation Ax=b does not have a solution for all possible b, and describe the set of all b for which Ax=b does have a solution. 6 A = and b = -3 2

Advanced Engineering Mathematics
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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3. Determine if b is a linear combination of a1, a2, and a3. 2 1 3 1 a1 = = a2 2 1 = 03 = b 4 9 " 1 4. Show that the equation Ax = b does not have a solution for all possible b, and describe the set of all b for which Ax=b does have a solution. A and b = b₁ b2 -3 2 = 9
Transcribed Image Text:3. Determine if b is a linear combination of a1, a2, and a3. 2 1 3 1 a1 = = a2 2 1 = 03 = b 4 9 " 1 4. Show that the equation Ax = b does not have a solution for all possible b, and describe the set of all b for which Ax=b does have a solution. A and b = b₁ b2 -3 2 = 9
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