Manuals/calci/MATRIX

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

• $TypeOfMatrix$ is the type of the matrix.
• $DimensionsOfMatrix$ is the order of the matrix.
• $SeedValuesToUse$ 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

See Also

• ANTIDIAGONAL
• CONFERENCE
• CIRCULANT
• HADAMARD

References

• Hankel matrix
• Hadamard matrix
• Identity

• List of Main Z Functions

• Z3 home