Difference between revisions of "Manuals/calci/DIAGONALWITH"
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* In DIAGONALWITH, all the elements on main diagonal are filled with the given Properties rather than by 0. | * In DIAGONALWITH, all the elements on main diagonal are filled with the given Properties rather than by 0. | ||
* "ZERO" is a default Property. | * "ZERO" is a default Property. | ||
| − | + | '''Types of Properties:''' | |
case "POSITIVE": | case "POSITIVE": | ||
case "NEGATIVE": | case "NEGATIVE": | ||
| Line 24: | Line 24: | ||
case "ZERO": | case "ZERO": | ||
case "ZEROS": | case "ZEROS": | ||
| + | |||
| + | ==Examples== | ||
| + | 1. DIAGONALWITH([[1,2,3],[4,5,6],[9,8,11]],"NEGATIVE:INTEGER") | ||
| + | {| class="wikitable" | ||
| + | |- | ||
| + | | -18 || 2 || 3 | ||
| + | |- | ||
| + | | 4 || -16 || 6 | ||
| + | |- | ||
| + | | 9 || 8 || -64 | ||
| + | |} | ||
| + | 2. DIAGONALWITH([[11,18,19,20],[78,12,15,23],[-23,-20,-15,65],[5,8,9.2,12.7]],"SERIES") | ||
| + | {| class="wikitable" | ||
| + | |- | ||
| + | | 100 || 18 || 19 || 20 | ||
| + | |- | ||
| + | | 78 || 100 || 15 || 23 | ||
| + | |- | ||
| + | | -23 || -20 || 100 || 65 | ||
| + | |- | ||
| + | | 5 || 8 || 9.2 ||100 | ||
| + | |} | ||
| + | 3. DIAGONALWITH([[-1,6,8,9],[7,6,12,-98],[11,15,17.2,19]],"LIST") | ||
| + | {| class="wikitable" | ||
| + | |- | ||
| + | | 100 || 6 || 8 || 9 | ||
| + | |- | ||
| + | | 7 || 100 || 12 || -98 | ||
| + | |- | ||
| + | | 11 || 15 || 100 || 19 | ||
| + | |} | ||
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|v=Wc9DwLLXP8k|280|center|Diagonal Matrix}} | ||
| + | |||
| + | ==See Also== | ||
| + | *[[Manuals/calci/ANTIDIAGONAL | ANTIDIAGONAL]] | ||
| + | *[[Manuals/calci/ARROWHEAD| ARROWHEAD]] | ||
| + | *[[Manuals/calci/MATRIXOPERATORS| MATRIXOPERATORS]] | ||
| + | |||
| + | ==References== | ||
| + | *[http://en.wikipedia.org/wiki/Anti-diagonal_matrix Anti Diagonal] | ||
| + | |||
| + | |||
| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 12:44, 9 April 2019
DIAGONALWITH(Matrix,Properties,Seed,Offset,FillTypeAntiColumnOrRow)
- is any n×n square 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 Properties} is any property with which the main diagonal is filled.
is any n×n square matrix.
Description
- This function gives a matrix which satisfies the diagonal properties.
- An diagonal matrix is a matrix where all the entries are zero on the main diagonal going from the upper left corner to the lower right corner (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 \searrow} ).
- In DIAGONALWITH, all the elements on main diagonal are filled with the given Properties rather than by 0.
- "ZERO" is a default Property.
Types of Properties: case "POSITIVE": case "NEGATIVE": case "NATURAL": case "POSITIVE:INTEGER": case "NEGATIVE:INTEGER": case "INTEGER": case "NEGZEROPOS": case "VALUE": case "LIST": case "SERIES": case "SEED": case "FUNCTION": case "ZERO": case "ZEROS":
Examples
1. DIAGONALWITH([[1,2,3],[4,5,6],[9,8,11]],"NEGATIVE:INTEGER")
| -18 | 2 | 3 |
| 4 | -16 | 6 |
| 9 | 8 | -64 |
2. DIAGONALWITH([[11,18,19,20],[78,12,15,23],[-23,-20,-15,65],[5,8,9.2,12.7]],"SERIES")
| 100 | 18 | 19 | 20 |
| 78 | 100 | 15 | 23 |
| -23 | -20 | 100 | 65 |
| 5 | 8 | 9.2 | 100 |
3. DIAGONALWITH([[-1,6,8,9],[7,6,12,-98],[11,15,17.2,19]],"LIST")
| 100 | 6 | 8 | 9 |
| 7 | 100 | 12 | -98 |
| 11 | 15 | 100 | 19 |
Related Videos
See Also
References