Difference between revisions of "Manuals/calci/DIAGONALWITH"
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<div style="font-size:30px">'''DIAGONALWITH(Matrix,Properties,Seed,Offset,FillTypeAntiColumnOrRow)'''</div><br/> | <div style="font-size:30px">'''DIAGONALWITH(Matrix,Properties,Seed,Offset,FillTypeAntiColumnOrRow)'''</div><br/> | ||
| − | *<math>Matrix</math> is any | + | *<math>Matrix</math> is any n×n square matrix. |
| + | *<math>Properties</math> is any property with which the main diagonal is filled. | ||
==Description== | ==Description== | ||
| − | * This function gives | + | * 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 (<math>\searrow</math>). | * 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 (<math>\searrow</math>). | ||
| − | * In | + | * 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 23: | 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 13:44, 9 April 2019
DIAGONALWITH(Matrix,Properties,Seed,Offset,FillTypeAntiColumnOrRow)
- is any n×n square matrix.
- is any property with which the main diagonal is filled.
is any n×n square matrix.
is any property with which the main diagonal is filled.
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 ().
- 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