Manuals/calci/MATRIXIDENTITY
- is the order of the matrix.
is the order of the matrix.Description
- This function shows the identity matrix of a given matrix.
- 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 MATRIXIDENTITY(n)} ,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 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 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} .
- 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.MATRIXIDENTITY(3)
| 1 | 0 | 0 |
| 0 | 1 | 0 |
| 0 | 0 | 1 |
2. MATRIXIDENTITY(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 |
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References