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Test for the linear independence of the set of

Linear Independence of the Set of Vectors

Linearly Independent

Linearly dependent

(a) Test for the linear independence of the set of vectors

(0,1,0,1,1,0), (1,1,1,0,0,1), (1,0,1,0,1,1), (1,1,1,0,0,0), (0,0,1,0,1,1)
in V6 over the field of rational numbers.

(b) Test for the linear independence of the set of vectors

(1,0,1), (1,2,0), (0,1,2), (1,1,2),
in V3 over the field of rational numbers.

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Algebra: Test for the linear independence of the set of

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