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## Main Question or Discussion Point

the correlation between A and B is 0.8 and between B and C is 0.9. I have to calculate what the least correlation A and C can be.

[tex]

\begin{pmatrix}

1 & 0.8 & x\\

0.8 & 1 & 0.9\\

x & 0.9 & 1

\end{pmatrix}

[/tex]

using sthe standard equation for eigenvalues you get:

[tex] -\lambda^3 + 3\lambda^2 + \lambda(x^2-1.55) - x^2 + 1.44x -0.45 [/tex]

2 points have a used the correct methodology so far?

Are my calculations correct?

how do I proceed from here?

Baz

[tex]

\begin{pmatrix}

1 & 0.8 & x\\

0.8 & 1 & 0.9\\

x & 0.9 & 1

\end{pmatrix}

[/tex]

using sthe standard equation for eigenvalues you get:

[tex] -\lambda^3 + 3\lambda^2 + \lambda(x^2-1.55) - x^2 + 1.44x -0.45 [/tex]

2 points have a used the correct methodology so far?

Are my calculations correct?

how do I proceed from here?

Baz