|Dec3-09, 08:53 AM||#1|
Linear algebra: Finding a linear system with a subspace as solution set
1. The problem statement, all variables and given/known data
We are given a subspace of R^3 that is produced by the elements: (2,6,2) abd (6,2,2). We are asked to find (if any) a homogeneous linear system that has this subspace as solution set.
2. Relevant equations
3. The attempt at a solution
1)The subspace is 2 dimensional so the solution set must have 2 parameters. Also, given the elements that produce the subspace, i guess we want a system with 3 variables and 2 equations.
No clue after that :S
|Dec3-09, 12:00 PM||#2|
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