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NumPy | eye method

schedule Aug 12, 2023
Last updated
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Numpy's eye(~) method returns a 2D array with its diagonals filled with 1s, and all other entries filled with 0s.

Parameters

1. N | int

The size of the matrix (i.e. number of rows and columns).

2. Mlink | int | optional

The desired number of columns. By default, M=N.

3. klink | int | optional

The offset of the diagonals. If positive, then the diagonals will be shifted upwards, otherwise the diagonals will be shifted downwards. By default, k=0.

4. dtype | string or type | optional

The desired data type of the returned identity matrix. By default, dtype=Float.

Return value

A 2D Numpy array that represents an identity matrix.

Examples

Creating an identity matrix

To create an identity matrix of size 3:

np.eye(3)
array([[1., 0., 0.],
[0., 1., 0.],
[0., 0., 1.]])

To create an identity matrix of type int64:

np.eye(3, dtype="int64")
array([[1, 0, 0],
[0, 1, 0],
[0, 0, 1]])

Specifying the number of columns

To create an array with 4 columns, set M=4 as so:

np.eye(3, M=4)
array([[1., 0., 0., 0.],
[0., 1., 0., 0.],
[0., 0., 1., 0.]])

Specifying an offset

To have the diagonals shifted upward by 1:

np.eye(3, k=1)
array([[0., 1., 0.],
[0., 0., 1.],
[0., 0., 0.]])

To have the diagonals shifted downward by 2:

np.eye(3, k=-2)
array([[0., 0., 0.],
[0., 0., 0.],
[1., 0., 0.]])
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Published by Isshin Inada
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