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identity matrix

/aɪˈdentɪti ˈmeɪtrɪks/

1 entry

phrase

/aɪˈdentɪti ˈmeɪtrɪks/C1formalscientific
  • ruКвадратная матрица, в которой все элементы главной диагонали равны единице, а все остальные элементы равны нулю; выполняет роль мультипликативной единицы в матричной алгебре.

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.

    ruЕдиничная матрица

    • 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.