Difference between revisions of "Manuals/calci/MATRIX"

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(Created page with "<div style="font-size:30px">'''MATRIX (TypeOfMatrix,DimensionsOfMatrix,SeedValuesToUse,IJFunction,PreParameter,IsItInternalCall)'''</div><br/> *<math>TypeOfMatrix</math> is th...")
 
 
(3 intermediate revisions by the same user not shown)
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<div style="font-size:30px">'''MATRIX (TypeOfMatrix,DimensionsOfMatrix,SeedValuesToUse,IJFunction,PreParameter,IsItInternalCall)'''</div><br/>
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<div style="font-size:25px">'''MATRIX (TypeOfMatrix,DimensionsOfMatrix,SeedValuesToUse,IJFunction,PreParameter,IsItInternalCall)'''</div><br/>
 
*<math>TypeOfMatrix</math> is the type of the matrix.
 
*<math>TypeOfMatrix</math> is the type of the matrix.
 
*<math>DimensionsOfMatrix</math> is the order of the matrix.
 
*<math>DimensionsOfMatrix</math> is the order of the matrix.
Line 10: Line 10:
 
*So we can get a desired matrix with the given order.  
 
*So we can get a desired matrix with the given order.  
 
*Some different types of Matrices are listed below:
 
*Some different types of Matrices are listed below:
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1.ANTIDIAGONAL
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# ANTIDIAGONAL
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2.HADAMARD
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# HADAMARD
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3.HANKEL
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# HANKEL
−
4.POSITIVE
+
# POSITIVE
−
5.NEGATIVE
+
# NEGATIVE
−
6.ZERO
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# ZERO
−
7.POSITIVE INTEGER
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# POSITIVE INTEGER
−
8.NEGATIVE INTEGER
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# NEGATIVE INTEGER
−
9.INTEGER
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# INTEGER
−
10.LOGICAL
+
# LOGICAL
−
11.BINARY
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# BINARY
−
12.BOOLEAN
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# BOOLEAN
−
13.RELATION
+
# RELATION
−
14.(0,1)
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# (0,1)
−
15.ARROWHEAD
+
# ARROWHEAD
−
16.ANTI SYMMETRIC
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# ANTI SYMMETRIC
−
17.SKEW SYMMETRIC
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# SKEW SYMMETRIC
−
18.BLOCK DIAGONAL
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# BLOCK DIAGONAL
−
19.CENTRO SYMMETRIC
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# CENTRO SYMMETRIC
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20.CONFERENCE
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# CONFERENCE
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22. CIRCULANT
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# CIRCULANT
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23.DIAGONAL
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# DIAGONAL
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24. FROBENIUS
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# FROBENIUS
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25. HERMITIAN
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# HERMITIAN
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26. HESSENBERG
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# HESSENBERG
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27.HILBERT
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# HILBERT
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28.HOLLOW INTEGER
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# HOLLOW INTEGER
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29.HOLLOW NEGZEROPOS
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# HOLLOW NEGZEROPOS
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30.HOLLOW NEGATIVE
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# HOLLOW NEGATIVE
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31.IDENTITY
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# IDENTITY
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32.EXCHANGE
+
# EXCHANGE
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33. LEHMER
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# LEHMER
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34. MONOMIAL
+
# MONOMIAL
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35.GENERALIZED PERMUTATION
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# GENERALIZED PERMUTATION
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36.METZLER
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# METZLER
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37.METZLER NEGZEROPOS
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# METZLER NEGZEROPOS
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38.MOORE
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# MOORE
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39.ALTERNANT
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# ALTERNANT
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40.ONES
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# ONES
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41.REDHEFFER
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# REDHEFFER
−
42.PASCAL
+
# PASCAL
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43.PERMUTATION
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# PERMUTATION
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44.PERSYMMETRIC
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# PERSYMMETRIC
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45.PERSYMMETRIC INTEGER
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# PERSYMMETRIC INTEGER
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46.PERSYMMETRIC BOOLEAN
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# PERSYMMETRIC BOOLEAN
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47.SHIFT
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# SHIFT
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48.SIGNATURE
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# SIGNATURE
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49.SYMMETRIC  
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# SYMMETRIC  
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50.SYMMETRIC BOOLEAN
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# SYMMETRIC BOOLEAN
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51.SYMMETRIC INTEGER
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# SYMMETRIC INTEGER
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52.TOEPLITZ
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# TOEPLITZ
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53.TRIANGULAR
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# TRIANGULAR
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54.UPPER TRIANGULAR
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# UPPER TRIANGULAR
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55.LOWER TRIANGULAR
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# LOWER TRIANGULAR
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56.CAUCHY
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# CAUCHY
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57.CIRCULANT INTEGER
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# CIRCULANT INTEGER
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58. SIGN
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# SIGN
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59.UPPER BIDIAGONAL
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# UPPER BIDIAGONAL
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60.LOWER BIDIAGONAL
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# LOWER BIDIAGONAL
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61. BIDIAGONAL
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# BIDIAGONAL
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62. PENTA DIAGONAL
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# PENTA DIAGONAL
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63. PENTA DIAGONAL NEGATIVE
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# PENTA DIAGONAL NEGATIVE
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64. TRIDIAGONAL
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# TRIDIAGONAL
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65. IDEMPOTENT
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# IDEMPOTENT
−
66. VANDERMONDE
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# VANDERMONDE
  
 
==Examples==
 
==Examples==
Line 86: Line 86:
 
| 0 || 0 || 13
 
| 0 || 0 || 13
 
|}
 
|}
 +
2. MATRIXWITH(3,"negative:integer")
 +
{| class="wikitable"
 +
|-
 +
| -100 || -29 || -51
 +
|-
 +
| -80 || -26 || -58
 +
|-
 +
| -57 || -29 || -69
 +
|}
 +
3. MATRIX("circulant",3,12..120..13)
 +
{| class="wikitable"
 +
|-
 +
| 12 || 38 || 25
 +
|-
 +
| 25 || 12 || 38
 +
|-
 +
| 38 || 25 || 12
 +
|}
 +
4.MATRIX("generalized permutation",4,100..110)
 +
{| class="wikitable"
 +
|-
 +
| 0 || 0 || 100 || 0
 +
|-
 +
| 0 || 0 || 0 || 101
 +
|-
 +
| 0 || 102 || 0 || 0
 +
|-
 +
|103 || 0 || 0 || 0
 +
|}
 +
5.MATRIX("pascal",5)
 +
{| class="wikitable"
 +
|-
 +
| 1 || 1 || 1 || 1 || 1
 +
|-
 +
| 1 || 2 || 3 || 4 || 5
 +
|-
 +
| 1 || 3 || 6 || 10 || 15
 +
|-
 +
|1 || 4 || 10 || 20 || 35
 +
|-
 +
|1 || 5 || 15 || 35 || 70
 +
|}
 +
 +
==Related Videos==
 +
 +
{{#ev:youtube|v=4lAyqscuTc8|280|center|Types of Matrices}}
 +
 +
==See Also==
 +
*[[Manuals/calci/ANTIDIAGONAL| ANTIDIAGONAL]]
 +
*[[Manuals/calci/CONFERENCE| CONFERENCE]]
 +
*[[Manuals/calci/CIRCULANT| CIRCULANT]]
 +
*[[Manuals/calci/HADAMARD| HADAMARD]]
 +
 +
==References==
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*[http://en.wikipedia.org/wiki/Hankel_matrix Hankel matrix]
 +
*[http://en.wikipedia.org/wiki/Hadamard_matrix Hadamard matrix]
 +
*[https://en.wikipedia.org/wiki/Identity_matrix Identity]
 +
 +
 +
*[[Z_API_Functions | List of Main Z Functions]]
 +
 +
*[[ Z3 |  Z3 home ]]

Latest revision as of 14:08, 9 April 2019

MATRIX (TypeOfMatrix,DimensionsOfMatrix,SeedValuesToUse,IJFunction,PreParameter,IsItInternalCall)


  • is the type of the matrix.
  • is the order of the matrix.
  • is the range of the values to display in matrix.

Description

  • This function used to give different types matrix of given order.
  • Matrix is an Array of numbers which arranged in rows and columns.
  • There are many types of matrices.
  • So we can get a desired matrix with the given order.
  • Some different types of Matrices are listed below:
  1. ANTIDIAGONAL
  2. HADAMARD
  3. HANKEL
  4. POSITIVE
  5. NEGATIVE
  6. ZERO
  7. POSITIVE INTEGER
  8. NEGATIVE INTEGER
  9. INTEGER
  10. LOGICAL
  11. BINARY
  12. BOOLEAN
  13. RELATION
  14. (0,1)
  15. ARROWHEAD
  16. ANTI SYMMETRIC
  17. SKEW SYMMETRIC
  18. BLOCK DIAGONAL
  19. CENTRO SYMMETRIC
  20. CONFERENCE
  21. CIRCULANT
  22. DIAGONAL
  23. FROBENIUS
  24. HERMITIAN
  25. HESSENBERG
  26. HILBERT
  27. HOLLOW INTEGER
  28. HOLLOW NEGZEROPOS
  29. HOLLOW NEGATIVE
  30. IDENTITY
  31. EXCHANGE
  32. LEHMER
  33. MONOMIAL
  34. GENERALIZED PERMUTATION
  35. METZLER
  36. METZLER NEGZEROPOS
  37. MOORE
  38. ALTERNANT
  39. ONES
  40. REDHEFFER
  41. PASCAL
  42. PERMUTATION
  43. PERSYMMETRIC
  44. PERSYMMETRIC INTEGER
  45. PERSYMMETRIC BOOLEAN
  46. SHIFT
  47. SIGNATURE
  48. SYMMETRIC
  49. SYMMETRIC BOOLEAN
  50. SYMMETRIC INTEGER
  51. TOEPLITZ
  52. TRIANGULAR
  53. UPPER TRIANGULAR
  54. LOWER TRIANGULAR
  55. CAUCHY
  56. CIRCULANT INTEGER
  57. SIGN
  58. UPPER BIDIAGONAL
  59. LOWER BIDIAGONAL
  60. BIDIAGONAL
  61. PENTA DIAGONAL
  62. PENTA DIAGONAL NEGATIVE
  63. TRIDIAGONAL
  64. IDEMPOTENT
  65. VANDERMONDE

Examples

1. MATRIX("UPPERTRIANGULAR",3)

-37 82 -52
0 -31 2
0 0 13

2. MATRIXWITH(3,"negative:integer")

-100 -29 -51
-80 -26 -58
-57 -29 -69

3. MATRIX("circulant",3,12..120..13)

12 38 25
25 12 38
38 25 12

4.MATRIX("generalized permutation",4,100..110)

0 0 100 0
0 0 0 101
0 102 0 0
103 0 0 0

5.MATRIX("pascal",5)

1 1 1 1 1
1 2 3 4 5
1 3 6 10 15
1 4 10 20 35
1 5 15 35 70

Related Videos

Types of Matrices

See Also

References


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