Find the eigenvalues of the matrix $$A = \left[\begin{array}{cc} -44 &-32\cr -32 &4 \end{array}\right].$$
Enter the two eigenvalues, separated by a comma.


Classify the quadratic form $Q(\vec{x}) = \vec{x}^TA\vec{x}:$

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