- #1
mexilie
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Homework Statement
Is the set S = {(3,-2,4),(4,6,-4),(3,6,-2),(-13,2,-18)} linearly dependent? If so, give a dependency equation.
Homework Equations
The Attempt at a Solution
I first placed the set S into a matrix equation
[3 4 3 -13
-2 6 6 2
4 -4 -2 -18]
then put it into rref:
[1 0 0 5.44 0
0 1 0 7.76 0
0 0 1 -9.24 0]
Since the final column is all zeros, is the system linearly independent?