# Manuals/calci/MOORE

**MATRIX("MOORE",order)**

- is the size of the Moore matrix.

## Description

- This function gives the moore matrix of order 3 with the element 1.
- A moore matrix, is a square matrix over a finite field.
- When moore matrix is a square matrix, then its deteminant is called a Moore determinant.
- But it is unrelated to the Moore determinant of a quaternionic Hermitian matrix.
- The Moore matrix has successive powers of the applied to the first column, so it is an mxn matrix of the form:

- In calci, MATRIX("moore") is giving the matrixwith the element 1 of order 3.
- And MATRIX("moore",4,1..4) is giving Moore matrix starting element 1 to 4 of order 4.

## Examples

- 1.MATRIX("moore") = 1
- 2.MATRIX("moore",3)

1 | 1 | 1 |

1 | 1 | 1 |

1 | 1 | 1 |

- 3.MATRIX("moore",5,1..5)

1 | 1 | 1 | 1 | 1 |

2 | 4 | 16 | 256 | 65536 |

3 | 9 | 81 | 6561 | 43046721 |

4 | 16 | 256 | 65536 | 4294967296 |

5 | 25 | 625 | 390625 | 152587890625 |

- 4.MATRIX("moore",4,3..7,"",2.3)

3 | 12.513502532843182 | 334.1730615222005 | 638460.9005874459 |

4 | 24.251465064166364 | 1530.7256306021752 | 21147737.669320222 |

5 | 40.51641491731905 | 4983.693475030862 | 319424366.94628483 |

6 | 61.623714938749366 | 13074.350231574774 | 2936069039.087338 |