Riley hobson bence · Problem 9.8

Normal modes

Mathematics — Methods · simultaneous-diagonalization-quadratic-forms

Problem

(*It is recommended that the reader does not attempt this question until exercise 9.6 has been studied.*) Find a real linear transformation that simultaneously reduces the quadratic forms 3x2+5y2+5z2+2yz+6zx−2xy,3x^2 + 5y^2 + 5z^2 + 2yz + 6zx - 2xy, 5x2+12y2+8yz+4zx5x^2 + 12y^2 + 8yz + 4zx to diagonal form.

Related theory

Browse the problem library