Manuals/calci/MATRIXPOWER
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MATRIXPOWER (a,b,ConsiderUnits)
- 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 } is any matrix.
- 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 b} is any constant value or any matrix.
Description
- This function shows the power value of all the corresponding entries.
- 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 MATRIXPOWER(a,b,ConsiderUnits)} , 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} and 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 b} are any two matrices.
- The power of a number indicating how many times we have to multiply the number.
- Power is also called Exponents or Indices.
- Here both matrices should be the same dimension.
- So it is finding the power value of first value in the first matrix to the power first value in the second matrix.
- Consider 3x3 matrices with the entries 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=(a_{ij})} and 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 B=(b_{ij})} ,i and j= 1,2,3.
- So it is calculating 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_{11}^{b_{11}}} ,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_{12}^{b_{12}}} and 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_{13}^{b_{13}}}
- Suppose second matrix is less column or row values then the power value will assigned as 0.
- After calculating power value the remaining row and column values will display as 1.
Examples
1. MATRIXPOWER([2,3,4;5,6,7],5)
| 32 | 243 | 1024 |
| 3125 | 7776 | 16807 |
2. MATRIXPOWER([3,4,9;10,12,7;5,4,8],[5,2,7;3,6,9;11,12,13])
| 243 | 16 | 4782969 |
| 1000 | 2985984 | 40353607 |
| 48828125 | 16777216 | 549755813888 |