Write a python program for question no. d)

2. Let A be an m n real matrix with reduced SVD decomposition A and reduced QR decomposition A-QR. Let P be the orthogonal projection onto the column space of A. (a) Write P in terms of A and AT. (b) Write P in terms of U, , and V. (c) Write P in terms of Q and R. [1 -2 (d) Write a computer program to verify your calculations on A3 0 Do you see a relation between U and Q? Comment on your findings. 2. Let A be an m n real matrix with reduced SVD decomposition A and reduced QR decomposition A-QR. Let P be the orthogonal projection onto the column space of A. (a) Write P in terms of A and AT. (b) Write P in terms of U, , and V. (c) Write P in terms of Q and R. [1 -2 (d) Write a computer program to verify your calculations on A3 0 Do you see a relation between U and Q? Comment on your findings