Manuals/calci/DIAGONALWITH

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

• 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 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 (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

See Also

• ANTIDIAGONAL
• ARROWHEAD
• MATRIXOPERATORS

References

• Anti Diagonal

• List of Main Z Functions

• Z3 home