Question: Problem 9 . In this problem, do not do any row operations or solve any system of linear equations; instead, use your knowledge of vector

Problem 9. In this problem, do not do any row operations or solve any system of linear equations; instead, use your knowledge of vector spaces. Knowing that the linear system
5x1+x2-3x3=0
-9x1+2x2+5x3=1
4x1+x2-6x3=9
is consistent, explain why the linear system
5x1+x2-3x3=0
-9x1+2x2+5x3=5
4x1+x2-6x3=45
must also be consistent.
Problem 9. In this problem, do not do any row operations

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