Manuals/calci/IDENTITY

MATRIX("IDENTITY",order)

• $order$ is the order of the Identity matrix.

Description

• This function gives the identity matrix of order 3.
• The matrix is called identity matrix if a square matrix which has a 1 for each element on the main diagonal and 0 for all other elements.
• Identity matrix is denoted by I_n or simply by I.
• Identity matrix is also called as Unit matrix.
• The identity matrix is the identity for matrix multiplication.
• The form of identity matrices are:

$I_{1}={\begin{bmatrix}1\\\end{bmatrix}}$ $I_{2}={\begin{bmatrix}1&0\\0&1\\\end{bmatrix}}$ $I_{3}={\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\end{bmatrix}}$ ....... 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}}