# 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