Manuals/calci/IM

IM(n)

MATRIXIDENTITY(n)

• $n$ is the order of the matrix.

Description

• This function shows the identity matrix of a given matrix.
• In $IM(n)$,$n$ is the Order of 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 $I_{n}$.
• $I_{1}=[1]$,

$I_{2}={\begin{bmatrix}1&0\\0&1\end{bmatrix}}$, 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.IM(3)

1	0	0
0	1	0
0	0	1

2. IM(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