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    Linear Dependence of Vectors

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    Question :

    Prove that ( 1 , 3 , 2 ) , ( 1 , - 7 , - 8 ) , ( 2 , 1 , - 1 ) of V3( R) is linearly independent.

    © BrainMass Inc. brainmass.com December 24, 2021, 6:30 pm ad1c9bdddf
    https://brainmass.com/math/linear-algebra/linear-dependence-vectors-118972

    SOLUTION This solution is FREE courtesy of BrainMass!

    a1 , a2 , a3 be scalars belonging to R.
    The associated matrix is formed by the coefficients of a1 , a2 and a3
    Rank of A = 2 < no. of variables ( a1 , a2 , a3 )
    Therefore, the given vectors are linearly independent.

    For detailed step by step solution, please see the attached solution file.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 6:30 pm ad1c9bdddf>
    https://brainmass.com/math/linear-algebra/linear-dependence-vectors-118972

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