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Linear independence

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There are three elements from the 2x2 vector space:

(0 1)
|1> = (0 0)

(1 1)
|2> = (0 1)

(-2 -1)
|3> = (0 -2)

are they linearly independent?

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https://brainmass.com/physics/scalar-and-vector-operations/linear-independence-201489

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The solution shows what linear independence means in the context of vector space.

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