Question: 6. Show that the matrix A below is positive definite, and find a matrix P such that P'P = A. $$A = begin{bmatrix} 1 &

6. Show that the matrix A below is positive definite, and find a matrix P such that P'P = A.

$$A = \begin{bmatrix}

1 & 0 & -1 \\

0 & 2 & 1 \\

-1 & 1 & 2

\end{bmatrix}$$.

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