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Linear Algebra: Find a matrix A such that T(x) is Ax for each x
Thank you very much for your comment! I am happy that my answer was also of help.
Calculation of the coordinates on the surface of a tilted cone
Oh, I am so silly. I did the correct coordinate transformation but when I plotted the cone, I made a stupid mistake. Because you have z^2 in the equation of a cone, you get two possible solutions. One of the cones is tilted around its base point (as I wanted) and the other cone, whose tip touches the tip of the first cone, not. Unfortunately, I plotted the wrong cone and thought that my transformation was wrong. Well, I apologize for bothering you and the other forum users with this problem!