6. Find the non-trivial solutions of the following homogeneous system: 2x + y + 3z = 0 x-3y2z = 0 3x - 2y + z = 0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Algebra 

6. Find the non-trivial solutions of the following homogeneous system:
2x + y + 3z = 0
x – 3y – 2z = 0
3x – 2y + z = 0
7. Determine whether the vectors (-1,2,0), (3,1,2),(4,–1,0) and (0,1,-1)
generate or span the vector space R³ or not.
Transcribed Image Text:6. Find the non-trivial solutions of the following homogeneous system: 2x + y + 3z = 0 x – 3y – 2z = 0 3x – 2y + z = 0 7. Determine whether the vectors (-1,2,0), (3,1,2),(4,–1,0) and (0,1,-1) generate or span the vector space R³ or not.
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