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

Help please

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- Mar 15th 2008, 10:10 PMal1850Find coefficients
Find coefficients a1,a2 and a3 such that (1 2 1) = a1V1 + a2V2 + a3V3.

Help please - Mar 16th 2008, 05:52 AMSoroban
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.

Quote:

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

$\displaystyle 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": $\displaystyle a_1,a_2,a_3$ belong to $\displaystyle A$ (somehow).

But $\displaystyle a_1v_1 + a_2v_2 + a_3v_3$ is a**constant**.

. . It can__not__equal a matrix: $\displaystyle \begin{bmatrix} 1 & 2 & 1\end{bmatrix} $

Please state the original problem . . . carefully.

- Mar 16th 2008, 06:03 AMMoo
Hi,

Maybe this is the same as here : http://www.mathhelpforum.com/math-he...-question.html - Mar 16th 2008, 10:43 AMal1850
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.