Teaching CSIR NET Mock Test Series Mathematical Science Linear Algebra Bilinear Forms,Quadratic Forms
Let A =\(\left(\begin{array}{ccc}-1 & -2 & 0 \\ 1 & 1 & -2 \\ 0 & 1 & -a\end{array}\right)\), a ∈ ℝ. Then for which of the following value of a, A is negative definite?
1
a < 2
2
a > 2
3
a > -2
4
a < -2