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

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

Examples

• 1.MATRIX("identity")

1	0	0
0	1	0
0	0	1

• 2.MATRIX("identity",6)

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

See Also

• HADAMARD
• HESSENBERG
• CIRCULANT
• HANKEL

References

• Identity Matrix