# Maximum value of norm of mass matrix M

How do I compute the maximum values for ||M(q)|| and ||M_dot(q)||, the induced 2-norms, where M(q) is the mass matrix from the standard dynamical model of a robotic manipulator. I have the numerical values but not the analytical symbolic representation.

2. The induced norm of a PSD matrix is see here $$\sqrt{\lambda_{max}(A^TA)}$$