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dot(a, b, out=None)

Parameters

a : array_like

First argument.

b : array_like

Second argument.

out : ndarray, optional

Output argument. This must have the exact kind that would be returned if it was not used. In particular, it must have the right type, must be C-contiguous, and its dtype must be the dtype that would be returned for :None:None:`dot(a,b)`. This is a performance feature. Therefore, if these conditions are not met, an exception is raised, instead of attempting to be flexible.

Raises

ValueError

If the last dimension of a is not the same size as the second-to-last dimension of b.

Returns

output : ndarray

Returns the dot product of a and b. If a and b are both scalars or both 1-D arrays then a scalar is returned; otherwise an array is returned. If :None:None:`out` is given, then it is returned.

Dot product of two arrays. Specifically,

See Also

einsum

Einstein summation convention.

linalg.multi_dot

Chained dot product.

matmul

'@' operator as method with out parameter.

tensordot

Sum products over arbitrary axes.

vdot

Complex-conjugating dot product.

Examples

>>> np.dot(3, 4)
12

Neither argument is complex-conjugated:

>>> np.dot([2j, 3j], [2j, 3j])
(-13+0j)

For 2-D arrays it is the matrix product:

>>> a = [[1, 0], [0, 1]]
... b = [[4, 1], [2, 2]]
... np.dot(a, b) array([[4, 1], [2, 2]])
>>> a = np.arange(3*4*5*6).reshape((3,4,5,6))
... b = np.arange(3*4*5*6)[::-1].reshape((5,4,6,3))
... np.dot(a, b)[2,3,2,1,2,2] 499128
>>> sum(a[2,3,2,:] * b[1,2,:,2])
499128
See :

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