Manuals/calci/DIAGONALWITH

DIAGONALWITH(Matrix,Properties,Seed,Offset,FillTypeAntiColumnOrRow)

• $Matrix$ is any n×n square matrix.
• $Properties$ 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 ($\searrow$).
• 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

See Also

• ANTIDIAGONAL
• ARROWHEAD
• MATRIXOPERATORS

References

• Anti Diagonal

• List of Main Z Functions

• Z3 home