The matrix $$A = \left[\begin{array}{ccc} 0.3 &0 &0.9\cr 0 &5 &0\cr 0.9 &0 &2.7 \end{array}\right]$$ has three distinct eigenvalues, $\lambda_1 < \lambda_2 < \lambda_3$. Enter the eigenvalues as a comma separated list.
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Classify the quadratic form $Q(\vec{x}) = \vec{x}^TA\vec{x}:$

A. $Q(\vec{x})$ is indefinite
B. $Q(\vec{x})$ is positive definite
C. $Q(\vec{x})$ is positive semidefinite
D. $Q(\vec{x})$ is negative definite
E. $Q(\vec{x})$ is negative semidefinite