Show that if A is orthogonal and D is diagonal, then ADAT is symmetric. [The converse of this is also true but much harder to prove: If B is symmetric, then there exists an orthogonal matrix A and a diagonal matrix D such that B = ADAT. This says that if T(x)= Bx, where B is symmetric, then there is a coordinate system v1, v2, v3, …, vn such that T is a coordinate rescaling with respect to that system. Consult a linear algebra text for more details.]
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.