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identity matrix

/aɪˈdentɪti ˈmeɪtrɪks/

翻译: 主对角线上元素全为1、其余元素全为0的方阵;在矩阵乘法中相当于乘法单位元,即与任何同阶矩阵相乘都不改变该矩阵。也称为单位矩阵。

1 个条目

phrase

/aɪˈdentɪti ˈmeɪtrɪks/C1formalscientific
  • zh主对角线上元素全为1、其余元素全为0的方阵;在矩阵乘法中相当于乘法单位元,即与任何同阶矩阵相乘都不改变该矩阵。也称为单位矩阵。

A square matrix in which all the elements of the principal diagonal are ones and all other elements are zeros, acting as the multiplicative identity in matrix algebra.

  1. Square matrix with ones on the diagonalC2formal

    A square matrix in which all the elements of the principal diagonal are ones and all other elements are zeros. It acts as the multiplicative identity in matrix multiplication.

    zh单位矩阵

    • Multiplying any matrix by the identity matrix leaves the original matrix unchanged.
    • The 3x3 identity matrix has ones on its main diagonal and zeros elsewhere.
    • In linear algebra, the identity matrix is often denoted as I.