Difference between revisions of "Manuals/calci/DIAGONALMATRIX"
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*That is,the matrix D = (di,j) with n columns and n rows is diagonal if: | *That is,the matrix D = (di,j) with n columns and n rows is diagonal if: | ||
<math>\forall i,j \isin {1,2,....n},i \ne j \rArr d_{i,j} = 0</math> | <math>\forall i,j \isin {1,2,....n},i \ne j \rArr d_{i,j} = 0</math> | ||
| − | + | ||
| + | ==Examples== | ||
| + | |||
| + | ==See Also== | ||
| + | |||
| + | *[[Manuals/calci/DIAGONALFILL| DIAGONALFILL]] | ||
| + | *[[Manuals/calci/ARROWHEAD| ARROWHEAD]] | ||
| + | *[[Manuals/calci/MATRIXOPERATORS| MATRIXOPERATORS]] | ||
| + | |||
| + | ==References== | ||
| + | *[http://mathworld.wolfram.com/DiagonalMatrix.html] | ||
| + | |||
| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Revision as of 13:11, 6 June 2017
DIAGONALMATRIX(Order)
- is the size or order of the matrix.
is the size or order of the matrix.Description
- This function shows the Diagonal matrix of a given order.
- In 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 DIAGONALMATRIX(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 order of square matrix.
- A diagonal matrix is a square matrix which is 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 a_{ij}=c_{i} \delta_{ij}} where 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 \delta_{ij}} is the Kronecker delta, 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 c_{i}} are constants, and i,j=1, 2, ..., n.
- The general diagonal matrix is 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} c_{1} & 0 & \cdots & 0 \\ 0 & c_{2} & \cdots & 0 \\ \vdots & \vdots &\ddots & \vdots \\ 0 & 0 & \cdots & c_{n} \end{bmatrix} }
- So the main diagonal entries are need not to be zero and off-diagonal entries are zero.
- That is,the matrix D = (di,j) with n columns and n rows is diagonal if:
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 \forall i,j \isin {1,2,....n},i \ne j \rArr d_{i,j} = 0}
Examples
See Also
References