{"id":1045664,"date":"2024-12-31T13:25:42","date_gmt":"2024-12-31T05:25:42","guid":{"rendered":""},"modified":"2024-12-31T13:25:49","modified_gmt":"2024-12-31T05:25:49","slug":"python%e5%a6%82%e4%bd%95%e8%ae%a1%e7%ae%97%e8%a1%8c%e5%88%97%e5%bc%8f%e7%9a%84%e5%80%bc","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/1045664.html","title":{"rendered":"python\u5982\u4f55\u8ba1\u7b97\u884c\u5217\u5f0f\u7684\u503c"},"content":{"rendered":"

\"python\u5982\u4f55\u8ba1\u7b97\u884c\u5217\u5f0f\u7684\u503c\"<\/p>\n

\u4f7f\u7528Python\u8ba1\u7b97\u884c\u5217\u5f0f\u7684\u503c\uff0c\u53ef\u4ee5\u901a\u8fc7NumPy\u5e93\u3001SciPy\u5e93\u6216\u624b\u52a8\u5b9e\u73b0\u7b49\u65b9\u5f0f\u6765\u5b9e\u73b0\uff0cNumPy\u5e93\u3001SciPy\u5e93\u63d0\u4f9b\u4e86\u9ad8\u6548\u7684\u5185\u7f6e\u51fd\u6570\u6765\u8ba1\u7b97\u884c\u5217\u5f0f\u3001\u624b\u52a8\u5b9e\u73b0\u9002\u7528\u4e8e\u7406\u89e3\u7b97\u6cd5\u3002\u4e0b\u9762\u8be6\u7ec6\u63cf\u8ff0\u5982\u4f55\u4f7f\u7528NumPy\u5e93\u6765\u8ba1\u7b97\u884c\u5217\u5f0f\u7684\u503c\u3002<\/strong><\/p>\n<\/p>\n

NumPy\u5e93\u662fPython\u4e2d\u6700\u5e38\u7528\u7684\u6570\u503c\u8ba1\u7b97\u5e93\u4e4b\u4e00\uff0c\u5b83\u63d0\u4f9b\u4e86\u8bb8\u591a\u9ad8\u6548\u7684\u6570\u5b66\u51fd\u6570\u548c\u64cd\u4f5c\u3002\u8ba1\u7b97\u884c\u5217\u5f0f\u662f\u4e00\u4e2a\u5e38\u89c1\u7684\u7ebf\u6027\u4ee3\u6570\u64cd\u4f5c\uff0cNumPy\u5e93\u4e2d\u7684numpy.linalg.det<\/code>\u51fd\u6570\u53ef\u4ee5\u65b9\u4fbf\u5730\u8ba1\u7b97\u77e9\u9635\u7684\u884c\u5217\u5f0f\u3002<\/p>\n<\/p>\n

\u4f7f\u7528NumPy\u5e93\u8ba1\u7b97\u884c\u5217\u5f0f\u975e\u5e38\u7b80\u5355\uff0c\u9996\u5148\u9700\u8981\u5b89\u88c5\u548c\u5bfc\u5165NumPy\u5e93\uff0c\u7136\u540e\u5b9a\u4e49\u4e00\u4e2a\u77e9\u9635\u5e76\u4f7f\u7528numpy.linalg.det<\/code>\u51fd\u6570\u6765\u8ba1\u7b97\u884c\u5217\u5f0f\u7684\u503c\u3002\u4e0b\u9762\u662f\u4e00\u4e2a\u793a\u4f8b\u4ee3\u7801\uff1a<\/p>\n<\/p>\n

import numpy as np<\/p>\n
\u5b9a\u4e49\u4e00\u4e2a\u77e9\u9635<\/strong><\/h2>\n
matrix = np.array([[1, 2], [3, 4]])<\/p>\n
\u8ba1\u7b97\u884c\u5217\u5f0f\u7684\u503c<\/strong><\/h2>\n
det_value = np.linalg.det(matrix)<\/p>\n
print("\u884c\u5217\u5f0f\u7684\u503c:", det_value)<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u5728\u8fd9\u4e2a\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u9996\u5148\u5bfc\u5165\u4e86NumPy\u5e93\uff0c\u7136\u540e\u5b9a\u4e49\u4e86\u4e00\u4e2a2×2\u7684\u77e9\u9635\uff0c\u5e76\u4f7f\u7528numpy.linalg.det<\/code>\u51fd\u6570\u8ba1\u7b97\u5176\u884c\u5217\u5f0f\u7684\u503c\u3002\u7ed3\u679c\u663e\u793a\u884c\u5217\u5f0f\u7684\u503c\u4e3a-2.0\u3002<\/p>\n<\/p>\n
\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u8be6\u7ec6\u4ecb\u7ecd\u4f7f\u7528Python\u8ba1\u7b97\u884c\u5217\u5f0f\u503c\u7684\u51e0\u79cd\u65b9\u6cd5\u3002<\/p>\n<\/p>\n
\u4e00\u3001\u4f7f\u7528NumPy\u5e93\u8ba1\u7b97\u884c\u5217\u5f0f<\/strong><\/h2>\n
NumPy\u5e93\u63d0\u4f9b\u4e86\u5f3a\u5927\u7684\u7ebf\u6027\u4ee3\u6570\u529f\u80fd\uff0c\u53ef\u4ee5\u7528\u6765\u8ba1\u7b97\u77e9\u9635\u7684\u884c\u5217\u5f0f\u3002\u4e0b\u9762\u662f\u4e00\u4e2a\u66f4\u8be6\u7ec6\u7684\u793a\u4f8b\uff0c\u5c55\u793a\u5982\u4f55\u4f7f\u7528NumPy\u5e93\u8ba1\u7b97\u4e0d\u540c\u5927\u5c0f\u77e9\u9635\u7684\u884c\u5217\u5f0f\u3002<\/p>\n<\/p>\n
1\u3001\u5b89\u88c5\u548c\u5bfc\u5165NumPy\u5e93<\/h2>\n<\/p>\n
\u9996\u5148\uff0c\u9700\u8981\u786e\u4fdd\u5df2\u7ecf\u5b89\u88c5\u4e86NumPy\u5e93\u3002\u5982\u679c\u6ca1\u6709\u5b89\u88c5\uff0c\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u547d\u4ee4\u8fdb\u884c\u5b89\u88c5\uff1a<\/p>\n<\/p>\n
pip install numpy<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u7136\u540e\uff0c\u5728\u4ee3\u7801\u4e2d\u5bfc\u5165NumPy\u5e93\uff1a<\/p>\n<\/p>\n
import numpy as np<\/p>\n
<\/code><\/pre>\n<\/p>\n
2\u3001\u5b9a\u4e49\u77e9\u9635<\/h2>\n<\/p>\n
\u53ef\u4ee5\u4f7f\u7528numpy.array<\/code>\u51fd\u6570\u5b9a\u4e49\u4e00\u4e2a\u77e9\u9635\u3002\u4e0b\u9762\u662f\u4e00\u4e2a3×3\u77e9\u9635\u7684\u793a\u4f8b\uff1a<\/p>\n<\/p>\n
matrix_3x3 = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]])<\/p>\n
<\/code><\/pre>\n<\/p>\n
3\u3001\u8ba1\u7b97\u884c\u5217\u5f0f\u7684\u503c<\/h2>\n<\/p>\n
\u4f7f\u7528numpy.linalg.det<\/code>\u51fd\u6570\u8ba1\u7b97\u77e9\u9635\u7684\u884c\u5217\u5f0f\u503c\uff1a<\/p>\n<\/p>\n
det_value_3x3 = np.linalg.det(matrix_3x3)<\/p>\n
print("3x3\u77e9\u9635\u7684\u884c\u5217\u5f0f\u503c:", det_value_3x3)<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u4e8c\u3001\u4f7f\u7528SciPy\u5e93\u8ba1\u7b97\u884c\u5217\u5f0f<\/strong><\/h2>\n
SciPy\u5e93\u662f\u53e6\u4e00\u4e2a\u5e38\u7528\u7684\u79d1\u5b66\u8ba1\u7b97\u5e93\uff0c\u5b83\u5efa\u7acb\u5728NumPy\u4e4b\u4e0a\uff0c\u63d0\u4f9b\u4e86\u66f4\u591a\u7684\u6570\u5b66\u51fd\u6570\u548c\u64cd\u4f5c\u3002SciPy\u5e93\u4e2d\u7684scipy.linalg.det<\/code>\u51fd\u6570\u4e5f\u53ef\u4ee5\u7528\u6765\u8ba1\u7b97\u77e9\u9635\u7684\u884c\u5217\u5f0f\u3002<\/p>\n<\/p>\n
1\u3001\u5b89\u88c5\u548c\u5bfc\u5165SciPy\u5e93<\/h2>\n<\/p>\n
\u9996\u5148\uff0c\u9700\u8981\u786e\u4fdd\u5df2\u7ecf\u5b89\u88c5\u4e86SciPy\u5e93\u3002\u5982\u679c\u6ca1\u6709\u5b89\u88c5\uff0c\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u547d\u4ee4\u8fdb\u884c\u5b89\u88c5\uff1a<\/p>\n<\/p>\n
pip install scipy<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u7136\u540e\uff0c\u5728\u4ee3\u7801\u4e2d\u5bfc\u5165SciPy\u5e93\uff1a<\/p>\n<\/p>\n
import scipy.linalg<\/p>\n
<\/code><\/pre>\n<\/p>\n
2\u3001\u5b9a\u4e49\u77e9\u9635<\/h2>\n<\/p>\n
\u53ef\u4ee5\u4f7f\u7528numpy.array<\/code>\u51fd\u6570\u5b9a\u4e49\u4e00\u4e2a\u77e9\u9635\u3002\u4e0b\u9762\u662f\u4e00\u4e2a2×2\u77e9\u9635\u7684\u793a\u4f8b\uff1a<\/p>\n<\/p>\n
matrix_2x2 = np.array([[1, 2], [3, 4]])<\/p>\n
<\/code><\/pre>\n<\/p>\n
3\u3001\u8ba1\u7b97\u884c\u5217\u5f0f\u7684\u503c<\/h2>\n<\/p>\n
\u4f7f\u7528scipy.linalg.det<\/code>\u51fd\u6570\u8ba1\u7b97\u77e9\u9635\u7684\u884c\u5217\u5f0f\u503c\uff1a<\/p>\n<\/p>\n
det_value_2x2 = scipy.linalg.det(matrix_2x2)<\/p>\n
print("2x2\u77e9\u9635\u7684\u884c\u5217\u5f0f\u503c:", det_value_2x2)<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u4e09\u3001\u624b\u52a8\u5b9e\u73b0\u884c\u5217\u5f0f\u8ba1\u7b97<\/strong><\/h2>\n
\u867d\u7136\u4f7f\u7528NumPy\u548cSciPy\u5e93\u8ba1\u7b97\u884c\u5217\u5f0f\u975e\u5e38\u65b9\u4fbf\uff0c\u4f46\u6709\u65f6\u6211\u4eec\u53ef\u80fd\u5e0c\u671b\u624b\u52a8\u5b9e\u73b0\u884c\u5217\u5f0f\u8ba1\u7b97\uff0c\u4ee5\u66f4\u597d\u5730\u7406\u89e3\u884c\u5217\u5f0f\u7684\u8ba1\u7b97\u8fc7\u7a0b\u3002\u4e0b\u9762\u662f\u4e00\u4e2a\u624b\u52a8\u8ba1\u7b972×2\u77e9\u9635\u884c\u5217\u5f0f\u7684\u793a\u4f8b\uff1a<\/p>\n<\/p>\n
def det_2x2(matrix):<\/p>\n
    a, b, c, d = matrix[0][0], matrix[0][1], matrix[1][0], matrix[1][1]<\/p>\n
    return a * d - b * c<\/p>\n
matrix_2x2 = [[1, 2], [3, 4]]<\/p>\n
det_value_2x2 = det_2x2(matrix_2x2)<\/p>\n
print("\u624b\u52a8\u8ba1\u7b972x2\u77e9\u9635\u7684\u884c\u5217\u5f0f\u503c:", det_value_2x2)<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u5bf9\u4e8e\u66f4\u5927\u7684\u77e9\u9635\uff0c\u53ef\u4ee5\u4f7f\u7528\u9012\u5f52\u65b9\u6cd5\u8ba1\u7b97\u884c\u5217\u5f0f\u3002\u4e0b\u9762\u662f\u4e00\u4e2a\u624b\u52a8\u8ba1\u7b973×3\u77e9\u9635\u884c\u5217\u5f0f\u7684\u793a\u4f8b\uff1a<\/p>\n<\/p>\n
def det_3x3(matrix):<\/p>\n
    def submatrix(matrix, row, col):<\/p>\n
        return [row[:col] + row[col + 1:] for row in (matrix[:row] + matrix[row + 1:])]<\/p>\n
    if len(matrix) == 2:<\/p>\n
        return det_2x2(matrix)<\/p>\n
    determinant = 0<\/p>\n
    for col in range(len(matrix)):<\/p>\n
        sub_det = det_3x3(submatrix(matrix, 0, col))<\/p>\n
        determinant += ((-1)  col) * matrix[0][col] * sub_det<\/p>\n
    return determinant<\/p>\n
matrix_3x3 = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]<\/p>\n
det_value_3x3 = det_3x3(matrix_3x3)<\/p>\n
print("\u624b\u52a8\u8ba1\u7b973x3\u77e9\u9635\u7684\u884c\u5217\u5f0f\u503c:", det_value_3x3)<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u56db\u3001\u884c\u5217\u5f0f\u7684\u6027\u8d28<\/strong><\/h2>\n
\u4e86\u89e3\u884c\u5217\u5f0f\u7684\u6027\u8d28\u5bf9\u8ba1\u7b97\u548c\u7406\u89e3\u884c\u5217\u5f0f\u975e\u5e38\u6709\u5e2e\u52a9\u3002\u4e0b\u9762\u662f\u4e00\u4e9b\u91cd\u8981\u7684\u884c\u5217\u5f0f\u6027\u8d28\uff1a<\/p>\n<\/p>\n
1\u3001\u884c\u5217\u5f0f\u7684\u57fa\u672c\u6027\u8d28<\/h2>\n<\/p>\n