Share
Explore BrainMass

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.

Solution Summary

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
(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
and 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.

Solution contains detailed step-by-step explanation.

$2.19