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?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.2: Linear Independence, Basis, And Dimension

Problem 3AEXP

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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?

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