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Math Help - Vector linear combinations

  1. #1
    Junior Member
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    Vector linear combinations

    When is vector(x,y,z,w) a linear combination of v1= (-1,1,-1,2) and v2=(1,-1,1,0)?
    State the answer in terms of equations involving x,y,z,and w.
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  2. #2
    Member Greengoblin's Avatar
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    When there exists a k_1 and k_2 such that:

    (x,y,z,w)=k_1\mathbf{v_1}+k_2\mathbf{v_2}

    Using the definition of scalar multiplication, you can easily write it out in terms of x,y,z,w.
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