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Let v1=[1 0 -1 ] and v2=[1 2 0 ] be two vectors in R^3.

Show that v1 and v2 is linearly independent.
Find all vectors in R^3 that are not linear combinations of v1 and v2.
Is the set S={v1,v2,[0 0 1 ]} linearly independent? Explain.

Sagot :

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