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I have a hw problem I need some help with.

Given 3 matrices:

A = [1,2,1,2]^t

B = [2,3,-1,0]^t

C = [1,0,1,0]^t

I need to use test of independence to find out whether they are independent.

So, the matrix I ended up with is this

1 2 1 0

0 1 2 0

0 0 0 0

0 0 0 0

The answer says it's independent and I can see that from the original matrices. But I do not know how to proceed with the indep. test to prove that; for one thing, I have more equations than unknowns (I know they are all zeros, so I just disregarded the last row) and for another, if I make it a row-echelon form it looks like column 3 (not being a pivot matrix) is actually a lin. comb. of col.1 and 2 which means that the set is lin.dep.

Where did I go wrong? :yuck:

Thanks.

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# Independence test

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