Check whether or not the conicoid represented by #5x^2+4y^2-4yz+2xz+2x-4y-8z+2=0# is central or not. If it is, transform the equation by shifting the origin to the center. Else, change any one coefficient to make the equation that of a central conicoid.?
I hope it helps.
can be represented as
After solving by making
which represents the conicoid center.
From the matrix
which is a hyperboloid of two sheets added to a plane.