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10.2. (a) Write a MATLAB function [W,R] = house (A) that computes an implicit representation of a full QR factorization A = QR of

10.2. (a) Write a MATLAB function [W,R] = house (A) that computes an implicit representation of a full QR factorization A = QR of an m x n matrix A with m>n using Householder reflections. The output variables are a lower-triangular matrix W C*" whose columns are the vectors V defining the successive Householder reflections, and a triangular matrix R C"," (b) Write a MATLAB function Q = formQ (W) that takes the matrix W pro- duced by house as input and generates a corresponding m m orthogonal matrix Q. NOTE: Do only in Python (Not Matlab)

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