def design_matrix(x_train, M):
'''
:param x_train: ciag treningowy Nx1
:param M: stopien wielomianu 0,1,2,...
:return: funkcja wylicza Design Matrix Nx(M+1) dla wielomianu rzedu M
matrix = np.ones(shape=(x_train.shape[0], M+1))
for col in range(M + 1):
for row in range(matrix.shape[0]):
matrix[row][col] = pow(x_train[row][0], col)
'''
return np.array([[pow(x_train[row][0], col) for col in range(M+1)] for row in range(x_train.shape[0])])
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