project 2- problem 1

i) The theory and algorithm (as your understanding); ii) The Matlab or Python commands (explain important steps); iii) The results and conclusion. Project 1 Problem 1. Write a program to find the reflection of an polygonal object (for example, input a triangle or a rectangle) in R3 with the standard inner product. about a given plane ax + by + cz = d. Problem 2. Write a program to input any number of vectors in R" and return the orthogonal basis and orthonormal basis of the subspace spanned by these vectors. (Use Gram - Schmidt process) Problem 3. Write a program to solve the system of equations using Gaussian elim- ination. Conclude the number of solution, the exact solution in case of unique solution, the number of free variable in case of infinitely many solutions. Project 2 Problem 1. Write a program to find the projection of an polygonal object (for example, input a triangle or a rectangle) in R3 with the standard inner product. about a given plane ax + by + cz = d