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# NumPy | eye method

Programming
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Python
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NumPy
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schedule Mar 10, 2022
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. `M`link | `int` | `optional`

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

3. `k`link | `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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