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    Linear Alegbra and Vectors : Linear Dependence

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    Determine whether or not the following set of vectors in R4 is linearly independent?

    u=(1,0,3,0) v=(2,1,1,3) w=(1,2,-7,6)

    © BrainMass Inc. brainmass.com March 4, 2021, 5:48 pm ad1c9bdddf
    https://brainmass.com/math/linear-algebra/linear-algebra-vectors-linear-dependence-11646

    Solution Preview

    Solution:

    Set

    k1u+k2v+k3w=0, we have k1(1,0,3,0)+k2(2,1,1,3)+k3(1,2,-7,6)=0
    Thus.
    k1+2k2+k3=0 ...

    Solution Summary

    A set of vectors are found to be not linearly dependent. Linearly independent vectors are analyzed.

    $2.19

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