If you compute that determinant, you'll obtain a expression of the form . Then, is the equation of a plane (if ) .
Consider the equation
Show that the equation represents the Cartesian equation of a plane.
I'm not really sure how to interpret this. The equation is that the determinate = 0. How does a determinate represent the equation of a plane? Or are they referring to the first row of the matrix?
Any assistance would be great!