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22. Find all 3x3 matrices for which the homogeneous system has a solution space as the line x= 2t, y = t, z=t/2. (Hint: Write the row reduced augmented matrix from given information.)What is the rank in this case?

22. Find all 3x3 matrices for which the homogeneous system has a solution space as the line x= 2t, y = t, z=t/2. (Hint: Write the row reduced augmented matrix from given information.)What is the rank in this case?

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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22. Find all 3x3 matrices for which the homogeneous system has a solution space as the line x = 2t, y = t, z= t/2. (Hint: Write the row reduced augmented matrix from given information.)What is the rank in this case?
Transcribed Image Text:22. Find all 3x3 matrices for which the homogeneous system has a solution space as the line x = 2t, y = t, z= t/2. (Hint: Write the row reduced augmented matrix from given information.)What is the rank in this case?
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