Manuals/calci/IDEMPOTENT

MATRIX("IDEMPOTENT",order)


  • is the size of the Idempotent matrix.

Description

  • This function is showing the idempotent matrix of order 3.
  • An idempotent matrix is a matrix which, when multiplied by itself, is getting the same matrix.
  • i.e.,A square matrix K is said to be idempotent if  .
  • The properties of idempotent matrix is:
  1.   for r being a positive integer.
  2.   is idempotent.
  3. If   and   are idempotent matrices and  . Then   is idempotent.

Examples

  • 1.MATRIXTYPE("idempotent",IM(19)) = true
  • 2.MATRIXTYPE([12,14],"idempotent") = false
  • 3.MATRIXTYPE(IM(5)|*|2,"idempotent") = false

See Also

References