(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Is the set S = {(3,-2,4),(4,6,-4),(3,6,-2),(-13,2,-18)} linearly dependent? If so, give a dependency equation.

2. Relevant equations

3. 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?

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# Homework Help: Linear Dependence/Independence

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