如何高效生成从0开始连续取值的矩阵？以4*4（0到16）及10*10（0到100）矩阵为例

Hey there! Generating matrices with consecutive values starting from 0 doesn’t require typing out every single number—let’s break down the easiest, most scalable ways to make your 4x4 and 10x10 grids.

Option 1: Use NumPy (Best for Speed & Large Matrices) #

NumPy is built for this kind of numerical work—it’s fast, clean, and perfect for any size matrix. Here’s how to use it:

4x4 Matrix (0 to 15, since 4×4 = 16 elements) #

If you meant a full 4x4 grid with values from 0 to 15 (the standard sequential fill), run this:

import numpy as np

# Create a flat array of 0-15, then reshape into 4 rows and 4 columns
four_by_four = np.arange(16).reshape(4, 4)
print(four_by_four)

Output:

[[ 0  1  2  3]
 [ 4  5  6  7]
 [ 8  9 10 11]
 [12 13 14 15]]

Note: If you truly need values up to 16 (17 total), you can’t make a perfect 4x4 square—you’d need a 4x5 matrix instead with np.arange(17).reshape(4, 5).

10x10 Matrix (0 to 99, 10×10 = 100 elements) #

For a 10x10 grid, the logic is identical—just adjust the numbers:

ten_by_ten = np.arange(100).reshape(10, 10)
print(ten_by_ten)

This will give you a grid where each row starts 10 higher than the last, with values running 0 to 99 in order.

Option 2: Pure Python (No External Libraries) #

If you can’t install NumPy, list comprehensions are a great alternative—still way better than manual entry:

4x4 Matrix #

# For each row i, calculate the starting value (i*4) and add 0-3 to fill the row
four_by_four = [[i * 4 + j for j in range(4)] for i in range(4)]
print(four_by_four)

10x10 Matrix #

Same idea, scaled to 10 columns/rows:

ten_by_ten = [[i * 10 + j for j in range(10)] for i in range(10)]
print(ten_by_ten)

Why This Is Way Better Than Manual Building #

• Scalable: Need a 20x20 matrix? Just change the numbers in two spots instead of rewriting 400 values.
• Error-proof: No typos from typing every number by hand.
• Flexible: Want to start at 1 instead of 0? Just adjust the code—for NumPy, use np.arange(1, 17); for pure Python, add +1 to the inner expression.

内容的提问来源于stack exchange，提问作者awannabecs