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回归的矩阵表达形式

回归的矩阵表达形式

The matrix expression of the regression

  • 1.公式

  • 2.矩阵运算的复习
  • 加减法:对应行列坐标的值加减
  • 乘法:假设有维数有n × m 的矩阵X,以及维度为l × k的矩阵Y,则
  • (1)当 m = l 时,矩阵X乘以矩阵Y才是可行的,结果矩阵XY才存在;
  • (2)当 k = n 时,矩阵Y乘以矩阵X才是可行的,结果矩阵YX才存在。
  • 公式:
  • 转置:对应的行列互换。

  • 1.Formulas

  • 2.Review of matrix operations
  • Addition and subtraction:Add or subtract the values of the corresponding row and column coordinates
  • Subtraction:Suppose that there are matrices X with dimensions n × m, and matrices Y with dimensions l × k, then
  • (1)Only when m = l is it feasible to multiply matrix X by matrix Y, and the resultant matrix XY exists;
  • (2)Only when k = n is it feasible to multiply matrix Y by matrix X, and the resultant matrix YX exists.
  • Formulas:
  • Matrix transposition:Interchange of corresponding rows and columns.
回归的矩阵表达形式.txt · 最后更改: 2024/04/14 03:41 由 zwz