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| | *But it is unrelated to the Moore determinant of a quaternionic Hermitian matrix. | | *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: | | *The Moore matrix has successive powers of the applied to the first column, so it is an mxn matrix of the form: |
| − | <math>\begin{bmatrix} | + | <math> |
| − | \alpha_1 & {\alpha_1}^q &\cdots & {\alpha_1}^q^{n-1} \\ | + | \begin{bmatrix} |
| − | \alpha_2 & {\alpha_2}^q &\cdots & {\alpha_2}^q^{n-1} \\ | + | \alpha_1 & {\alpha_1}^q & \cdots & {{\alpha_1}^q}^{n-1} \\ |
| − | \alpha_3 & {\alpha_3}^q &\cdots & {\alpha_3}^q^{n-1} \\ | + | \alpha_2 & {\alpha_2}^q & \cdots & {{\alpha_2}^q}^{n-1} \\ |
| − | \vdots & \ddots & \vdots \\ | + | \alpha_3 & {\alpha_3}^q & \cdots & {{\alpha_3}^q}^{n-1} \\ |
| − | \alpha_m & {\alpha_m}^q &\cdots & {\alpha_m}^q^{n-1} \\ | + | \vdots & \vdots & \ddots & \vdots\\ |
| − | \end{bmatrix} </math> | + | \alpha_m & {\alpha_m}^q & \cdots & {{\alpha_m}^q}^{n-1} \\ |
| | + | \end{bmatrix} |
| | + | </math> |
| | *In calci, MATRIX("moore") is giving the matrixwith the element 1 of order 3. | | *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. | | *And MATRIX("moore",4,1..4) is giving Moore matrix starting element 1 to 4 of order 4. |