Difference between revisions of "Manuals/calci/IDEMPOTENT"

Revision as of 13:28, 5 May 2015

MATRIX("IDEMPOTENT",order)

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 $K^{2}=K$ .
The properties of idempotent matrix is:

$K^{r}=K$ for r being a positive integer.
I-K is idempotent.
If $K_{1}$ and $K_{2}$ are idempotent matrices and $K_{1}K_{2}=K_{2}K_{1}$ . Then $K_{1}K_{2}$ is idempotent.

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-<div style="font-size:30px">'''IDEMPOTENT'''</div><br/>
+<div style="font-size:30px">'''MATRIX("IDEMPOTENT",order)'''</div><br/>
+*<math>order</math> 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 <math>K^2=K</math>.
+*The properties of idempotent matrix is:
+# <math>K^r=K</math> for r being a positive integer.
+# I-K is idempotent.
+# If <math>K_1</math>  and <math>K_2</math>  are idempotent matrices and <math>K_1K_2 =K_2K_1</math>. Then <math>K_1K_2</math> is idempotent.