Question

Enter values (A, B, C) so that A*x^2+B*y^2+C*z^2=1 is the equation of an ellipsoid that goes through the point (-4, 1, -3).

Thank you.

Answer 1

you just need to solve
16A + B + 9C =1 (figure out yourself why?)
one such possible values are (A = 1, B = -6 , C = -1) any many more are possible....