Why are these vectors linearly dependent?

L

leadrig2019-09-26 20:03:47

Linear algebra

leadrig, 2019-09-26 20:03:47

I'm trying to prove

the Determinant in MatLab
a=[1 3 -1; 2 -1 5; -1 1 -3]
det(a)
It turns out 0. So the only option is for XY and Z to be equal to 0 at the same time, so those 3 vectors are not linearly dependent, which means they are not coplanar.

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