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Math Help - Linear system equasion

  1. #1
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    Linear system equasion

    Hi,

    i need help with problems i have atthached...
    Attached Thumbnails Attached Thumbnails Linear system equasion-exercise.png  
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  2. #2
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    Re: Linear system equasion

    Use the properties you know. Scalar multiplication is commutative and associative. So A(kX_0) = A(X_0k) = (AX_0)k = 0k = 0.

    Matrix multiplication is left distributive: A(kX_0+X_1) = (AkX_0) + AX_1 = 0+C = C.
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  3. #3
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    Re: Linear system equasion

    Thanks SlipEternal.

    Is this enough for proof or it has to be written out?
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  4. #4
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    Re: Linear system equasion

    I don't know what your professor expects. Write it out as much as you think it should be written out.
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