I have two questions for you.(adsbygoogle = window.adsbygoogle || []).push({});

Typically when trying to find out if a set of vectors is linearly independent i put the vectors into a matrix and do RREF and based on that i can tell if the set of vectors is linearly independent. If there is no zero rows in the RREF i can say that the vectors are linear independent.

I Done the RREF of -> C = {(−2, 3, 0, 1),(2, 0, 3, 1),(0, 3, 3, 2)} and have gotten

1,0,1,0

0,1,1,0

0,0,0,0

0,0,0,0

Leaving me to the conclusion that it is not linearly independent.

Is there another way i could of proved it was not linear independent?

Also my second Question here,

vector space V = {f : R → R}, prove that the set {2x^4 ,sin x, cos 3x} is linearly independent.

How would i go about proving that this is linear independence since i am unable to do my RREF with this?

Thanks

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# I Proving a set is linearly independant

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