MATRIX("MOORE",order)
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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:
Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\begin{bmatrix}\alpha _{1}&{\alpha _{1}}^{q}&\cdots &{{\alpha _{1}}^{q}}^{n-1}\\\alpha _{2}&{\alpha _{2}}^{q}&\cdots &{{\alpha _{2}}^{q}}^{n-1}\\\alpha _{3}&{\alpha _{3}}^{q}&\cdots &{{\alpha _{3}}^{q}}^{n-1}\\\vdots &\vdots &\ddots &\vdots \\\alpha _{m}&{\alpha _{m}}^{q}&\cdots &{{\alpha _{m}}^{q}}^{n-1}\\\end{bmatrix}}}
- 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 |
1 |
1 |
1 |
1
|
| 2 |
4 |
16 |
256 |
65536
|
| 3 |
9 |
81 |
6561 |
43046721
|
| 4 |
16 |
256 |
65536 |
4294967296
|
| 5 |
25 |
625 |
390625 |
152587890625
|
- 3.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
|
See Also
References