Answer in PYTHON

Answer in PYTHON

The following data points (10.0000,0),(10.2000,0.0040),(10.4000,0.0160),(10.6000, 0.0360), (10.8000, 0.0640), and (11.0000, 0.1000) are coming from the following quadratic equation y=ax2+bx+c. By using the given data points and the quadratic equation form a system of linear equations and solve it to find the values of a,b, and c using the QR decomposition method. Also, plot the curve to show that the data points fit to the curve. (Verify that your decomposition is correct by checking the upper triangular condition over R,Q. Q= Identity matrix, and QR gives back A up to some error bound). Use of any inbuilt function to find the QR decomposition directly is not allowed