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Math Help - question

  1. #1
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    question

    how can prove that this array:

    can be written as a linear combination in group :
    ؟.
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  2. #2
    ynj
    ynj is offline
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    Quote Originally Posted by suliman View Post
    how can prove that this array:

    can be written as a linear combination in group :
    ؟.
    It is the same with verifying the linear dependence of the vectors. you can just regard the 2*2 matrix as 4*1 vector.
    So the problem is to check whether the equation groups
    \alpha_{1}+\alpha_{2}+4\alpha_{3}-2\alpha_{2}=3
    2\alpha_{1}+2\alpha_{2}+\alpha_{3}+3\alpha_{2}=6
    6\alpha_{1}+\alpha_{2}-2\alpha_{3}-\alpha_{2}=-2
    -5\alpha_{1}+3\alpha_{3}+2\alpha_{2}=5
    is solvable.
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  3. #3
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    thank you
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