Linear dependence in R3?
I know that given 3 vectors in R3, they are linearly dependent if the determinant of their matrix is equal to 0. But is there a way to work that out by plotting the vectors in the xyz cartesian axis? I know that they shouldn't be lying in the same plane, but the plane formed by which of the 2 vectors...
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answers:
Jeffrey K say: If the 3 vectors are linearly INDEPENDENT, then they are all perpendicular to each other.
If all 3 are not mutually perpendicular, then they are dependent. If you can make a model with 3 sticks joined at their ends, it will be obvious by looking at them.
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