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 (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 \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.MATRIX("moore") = 1
- 2.MATRIX("moore",3)
| 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
|
See Also
References