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calculate the gradient of the matrix with apply_map

I wrote this code to calculate the gradient of the matrix, but I got the wrong answer


W = matrix(SR, 2, var(','.join([f'w{i}' for i in range(4)]), domain=RR))

x = vector(SR, 2, var('x1,x2', domain=RR))

y = sum(W*x)

f(x) = y.diff(x)

W.apply_map(f)


output:

[0 0]

[0 0]


what I expect is

[x1 x2]

[x1 x2]