NumPy: Get the qr factorization of a given array
NumPy: Linear Algebra Exercise-17 with Solution
Write a NumPy program to get the qr factorization of a given array.
Python Code :
import numpy as np a = np.array([[4, 12, -14], [12, 37, -53], [-14, -53, 98]], dtype=np.int32) print("Original array:") print(a) q, r = np.linalg.qr(a) print("qr factorization of the said array:") print( "q=\n", q, "\nr=\n", r)
Original array: [[ 4 12 -14] [ 12 37 -53] [-14 -53 98]] qr factorization of the said array: q= [[-0.21199958 -0.27930103 0.93650794] [-0.63599873 -0.68815735 -0.34920635] [ 0.74199852 -0.66964945 -0.03174603]] r= [[ -18.86796226 -65.4018692 109.39178122] [ 0. 6.67798664 -25.24309237] [ 0. 0. 2.28571429]]
Python Code Editor:
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Previous: Write a NumPy program to get the lower-triangular L in the Cholesky decomposition of a given array.
Next: Write a NumPy program to compute the factor of a given array by Singular Value Decomposition.
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Python: Tips of the Day
In Python you can use negative indexing. While positive index starts with 0, negative index starts with -1.
name="Welcome" print(name) print(name[-1]) print(name[0:3]) print(name[-1:-4:-1])
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