Teaching CSIR NET Mock Test Series Mathematical Science Linear Algebra

Let A = \(\left(\begin{array}{ccc}2 & 1 & -1 \\ -1 & a & 2 \\ 0 & 1 & 2\end{array}\right)\), a ∈ ℝ. Then for which value of a, A will be positive definite?

1
a > -1/2
2
a > - 3
3
a < 1/4
4
a < 2
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