I will perform calculations related to 4x4 square matrices.
Author: shiroeExecutions: 276
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Let the input matrix (determinant) be a.
The numbers to the right of a in the input field represent rows and columns.
(For example, a32 refers to the element in the 3rd row and 2nd column.)
The numbers in the minor determinants in the output field also represent rows and columns.
The numbers in the cofactors in the output field also represent rows and columns.
The rows and columns of the minor and the cofactor correspond to the rows and columns of a.
The numbers in the “Cofactor Matrix” section of the output also represent rows and columns.
These are the rows and columns of the cofactor matrix. They indicate the positions of the elements in the cofactor matrix.
The values of the minors are calculated using the Saras method.
For reference, the “Determinant Value” displayed in the output is the determinant of the matrix a you entered.
The “Reciprocal of the Determinant Value” is its reciprocal.
The numbers to the right of a in the input field represent rows and columns.
(For example, a32 refers to the element in the 3rd row and 2nd column.)
The numbers in the minor determinants in the output field also represent rows and columns.
The numbers in the cofactors in the output field also represent rows and columns.
The rows and columns of the minor and the cofactor correspond to the rows and columns of a.
The numbers in the “Cofactor Matrix” section of the output also represent rows and columns.
These are the rows and columns of the cofactor matrix. They indicate the positions of the elements in the cofactor matrix.
The values of the minors are calculated using the Saras method.
For reference, the “Determinant Value” displayed in the output is the determinant of the matrix a you entered.
The “Reciprocal of the Determinant Value” is its reciprocal.
| Value of the minor 11 | Value of the minor 12 Value of the minor 13 Value of the minor 14 |
| Value of the minor 21 | Value of the minor 22 Value of the minor 23 Value of the minor 24 |
| Value of the minor 31 | Value of the minor 32 Value of the minor 33 Value of the minor 34 |
| Value of the minor 41 | Value of the minor 42 Value of the minor 43 Value of the minor 44 |
| Cofactor 11 | Cofactor 12 Cofactor 13 Cofactor 14 |
| Cofactor 21 | Cofactor 22 Cofactor 23 Cofactor 24 |
| Cofactor 31 | Cofactor 32 Cofactor 33 Cofactor 34 |
| Cofactor 41 | Cofactor 42 Cofactor 43 Coefficient 44 |
| Residue Matrix 11 | Residue Matrix 12 Residue Matrix 13 Residue Matrix 14 |
| Residue Matrix 21 | Residue Matrix 22 Residue Matrix 23 Residue Matrix 24 |
| Residue Matrix 31 | Residue Matrix 32 Residue Matrix 33 Residue Matrix 34 |
| Residue Matrix 41 | Residue Matrix 42 Residue Matrix 43 Residue Matrix 44 |
| Value of the determinant | |
| Reciprocal of a determinant |
R6 (2024). April 9 (Tue)_“Regarding 4th-Order Square Matrices (Determinants)”_001
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Here, it calculates the minor values, the cofactors, and the cofactor matrix.
It also outputs the determinant and its inverse of the 4x4 square matrix entered as a reference.