# Linear Independence of the Set of Vectors

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.

https://brainmass.com/math/linear-algebra/linear-independence-set-vectors-19422

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Linear Independence of the Set of Vectors

Written by :-Thokchom Sarojkumar Sinha

(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. ...

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This solution is comprised of a detailed explanation for the linear independence of the set of vectors. It contains step-by-step explanation to test for the linear independence of the set of vectors. Solution contains detailed step-by-step explanation.