carrying out the two diagonalization procedures. n 7 (2) When working with quadratic forms on R, what are the advantages and disadvantages to using an orthogonal diagonalization of the corresponding symmetric matrix, rather than an ordinary diagonaliza- tion? In other words, if we only performed a regular diagonalization on the symmetric matrix, could we still use that information to change variables and convert the quadratic form into a diagonal quadratic form? How much of the information about the quadratic form can still be obtained from the ordinary diagonalization, and what aspects would be lost