Manuals/calci/EYE

EYE (Number)

• $Number$ is the order of the matrix.

Description

• This function shows the identity matrix of a given order.
• In $EYE(Number)$,$Number$ is the order of a identity matrix.
• Identity matrix is also called Unit matrix.
• Identity matrix of size n is the nxn square matrix with ones on the main diagonal and zeros on the other entries.
• Identity matrix is denoted by:

$I_{1}=[1]$, $I_{2}={\begin{bmatrix}1&0\\0&1\end{bmatrix}}$, $I_{3}={\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\end{bmatrix}}$...... $I_{n}={\begin{bmatrix}1&0&0\cdots &0\\0&1&0&\cdots &0\\0&0&1&\cdots &0\\\vdots &\ddots &\vdots \\0&0&0&\cdots &1\end{bmatrix}}$

Examples

1. EYE(1) =1
2. EYE(2)

1	0
0	1

3. EYE(5)

1	0	0	0	0
0	1	0	0	0
0	0	1	0	0
0	0	0	1	0
0	0	0	0	1

See Also

• MATRIXIDENTITY
• MATRIXOPERATORS

References

• Identity

• List of Main Z Functions
• Z3 home