please solve it as soon as possible..

Question: You currently work in the company "Neutro" which is dedicated to the production of shower soaps. The company produces four types of soaps: Neutral, Dermatological, Moisturizer and Aloe Vera, which require the use of three different raw materials mi, m2 and m3. The raw material units used to make each article are expressed in the following table: Raw material Products Neuter Dermatological Humectant Aloe Vera mi 1 0.2 0.1 1 m2 0.2 0.7 0.8 0.9 m3 0.2 2 0.9 1 The company wants to know the relationship that associates production with the use of raw materials and you are responsible for production planning. 1. Determine the relationship that associates each production with the use of raw materials. 2. Represent the information in a matrix way, that is, the initial set indicated by a matrix (or set of vectors), the transformation by showing it in its matrix form, and the final set also represented by a matrix (or set of vectors). 3. Calculate the core and image