On the USS Enterprise, there is a food synthesizer. The captain of the ship is John Luc Picard. John wants to eat an Indian dish called vindaloo. He orders dish from food synthesizer. Suppose food synthesizers only use carbon, nitrogen, hydrogen, and oxygen to create the food matrix of a dish. This dish is served on a pure aluminum plate, which is also synthesized by a food synthesizer. Given: food matrix of dish is 10.2 0.6 0.18 .02 at 100 C, matrix of plate = [1] 10.4 0.2 0.6 0.4 dish is cooled down to 30 C, which converts the dish matrix to 10.1 0.3 0.9 0.01|, Now identify transformation and eigen vector of original dish. 10.2 0.1 0.3 0.2 | Question 5: Guess the mathematical process (through the point of view of data analysis) of food synthesizers used on the USS Enterprise (Star Trek). Give your suggestions to make the process less energy-hungry.