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the original matrix A_in + A = A.astype('float64') #change to float + + n = np.shape(A)[0] + + if n != np.shape(A)[1]: + raise Exception('Matrix is not square') + + Q = np.eye(n) + R = A + + for j in np.arange(0,n-1): + a = np.copy(???).reshape(n-j,1) + e = np.eye(???)[:,0].reshape(n-j,1) + length_a = np.linalg.norm(a) + if a[0] >= 0: sig = ??? + else: sig = ??? + v = ??? + u = ??? + H = ??? + Qi = np.eye(n) + Qi[j:,j:] = ??? + R = ??? + Q = ??? + + return(Q,R) + + +