Index of the diagonal of ones.
When k=0, the ones diagonal is placed at index [0,0].
When k>0, the ones diagonal shifts by k indexes towards the right.
When k<0, the ones diagonal shifts by k indexes towards the left.
The desired data-type for the NumPy array.
import numpy as np
# 3x3 identity matrix
identity_matrix = np.eye(3, dtype=np.int32)
print(identity_matrix)
'''
Output:
[[1 0 0]
[0 1 0]
[0 0 1]]
'''
np.int8: 8-bit signed integer (range: -128 to 127).
np.int16: 16-bit signed integer (range: -32,768 to 32,767).
np.int32: 32-bit signed integer (range: -2,147,483,648 to 2,147,483,647).
np.int64: 64-bit signed integer (large integer range).
np.uint8: 8-bit unsigned integer (range: 0 to 255).
np.uint16: 16-bit unsigned integer (range: 0 to 65,535).
np.uint32: 32-bit unsigned integer (range: 0 to 4,294,967,295).
np.uint64: 64-bit unsigned integer (large positive integer range).
np.float16: Half precision floating-point (16-bit, for low-precision computations).
np.float32: Single precision floating-point (32-bit).
np.float64: Double precision floating-point (64-bit, the default float in NumPy).
np.float128: Extended precision floating-point (128-bit, availability depends on system).
np.complex64: Complex number represented by two 32-bit floats (for real and imaginary parts).
np.complex128: Complex number represented by two 64-bit floats (default complex dtype).
np.complex256: Complex number represented by two 128-bit floats (system-dependent).
np.bool_: Boolean type, can be either True or False (stored as 1-bit but takes up a full byte).
np.str_: Fixed-length Unicode string, specified by S + length (e.g., S10 for a 10-character string).
np.unicode_: Fixed-length Unicode string with support for multiple characters (uses U).
np.object_: Allows storing any Python object, including mixed types, strings, or other arrays. Useful for heterogeneous data but slower than native NumPy types.
np.datetime64: Stores dates and times with varying precisions (e.g., Y, M, D, h, m, s, ms, us, ns, ps, fs, as). Example: np.datetime64('2003-10-02')
np.timedelta64: Represents time durations with units (same units as datetime64).
By passing the dtype, you are implicitly converting the values to the passed dtype.
Specifies the memory layout order for multi-dimensional arrays.
Column-major order (Fortran-style), where columns are flattened first.
.ravel() is a NumPy function used to flatten a multi-dimensional array into a 1D array.
In NumPy 2.1, the device parameter in np.eye() is still in an early stage and currently only accepts "cpu" as a valid option. At this time, it is primarily there for future development, allowing the function to eventually support GPUs or other devices, but for now, it doesn't support GPU IDs directly.
The like parameter in np.eye() was introduced to make array creation more flexible, particularly for compatibility with libraries that extend NumPy, like Dask, CuPy, or other libraries that create arrays compatible with np.ndarray but optimized for different backends (e.g., parallel processing or GPU-based arrays).