# 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 12.5135 334.173 638461 4 24.2515 1530.73 2.11477e+07 5 40.5164 4983.69 3.19424e+08 6 61.6237 13074.4 2.93607e+09