 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-2-of-the-natural-sciences-course-of-the-university-of-cambridge/2014/paper-1/6/ii/a/solution

Writing the common positive eigenvalue as

λ

, the equation is

∣ x^{'} ∣^{2} = k / λ

. Hence it is a sphere with

centre 0, radius k / λ .

Every orthonormal set of axes is a principal-axis set in this fully degenerate case.

 New to topics? Read the docs here!