Find the intersection points of the curves and build graphics. 
P.S. Sorry for the spam questions on the forum, but I need to pass the work as soon as possible.

Determine the dimension of the system solution space: 

Implement a procedure that calculates the number of all non-zero elements of a given matrix, and apply this procedure to the matrix: 

Draw the coordinate grid of the elliptical coordinate system.

Get an animation of the transformation of an ellipse into a hyperbola.