32. For the matrix B below, find a scalar t such that B + tl is positive...

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32. For the matrix B below, find a scalar t such that B + tl is positive definite. See (1) of Theorem 12.2.14.


B =

$$\begin{bmatrix}

-3 & 2 & 0 \\

2 & 1 & -1 \\

0 & 1 & -2

\end{bmatrix}$$

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