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Math Help - Find coefficients

  1. #1
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    Find coefficients

    Find coefficients a1,a2 and a3 such that (1 2 1) = a1V1 + a2V2 + a3V3.
    Help please
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  2. #2
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    Hello, al1850!

    No one is responding because we can't read the problem.
    Obviously, there's a typo . . . and it still doesn't make sense.


    Find coefficients a1,a2 and a3 such that (1 2 1) = a1V1 + a2V2 + a3V3 . ?

    A \;=\;\begin{bmatrix}\frac{1}{\sqrt{2}} & -\frac{1}{\sqrt{2}} & 0 \\ \frac{1}{\sqrt{2}} & -\frac{1}{\sqrt{2}} & 0 \\ 0 & 0 & 1\end{bmatrix} \;=\;\begin{bmatrix}v1 & v2 & v3\end{bmatrix} . ??

    I would guess that the "coefficients": a_1,a_2,a_3 belong to A (somehow).

    But a_1v_1 + a_2v_2 + a_3v_3 is a constant.
    . . It can not equal a matrix: \begin{bmatrix} 1 & 2 & 1\end{bmatrix}

    Please state the original problem . . . carefully.

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  3. #3
    Moo
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    Hi,

    Maybe this is the same as here : http://www.mathhelpforum.com/math-he...-question.html
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  4. #4
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    That's exactly how it is asked in a Maths assignment.
    I used r.e.f work out that a1=3√2/2 , a2=√2/2 , a3=1
    Not sure if thats the coefficients.
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