Manuals/calci/EYE

EYE (Number)

• 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 Number} is the order of the matrix.

Description

• This function shows the identity matrix of a given order.
• In 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 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:

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 I_1=[1]} , 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 I_2 =\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}} , 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 I_3= \begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}} ...... 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 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

Related Videos

Identity Matrix

See Also

• MATRIXIDENTITY
• MATRIXOPERATORS

References

• Identity

• List of Main Z Functions
• Z3 home