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| − | EYE | + | <div style="font-size:30px">'''EYE (Number)'''</div><br/> |
| | + | *<math>Number</math> is the order of the matrix. |
| | + | |
| | + | ==Description== |
| | + | *This function shows the identity matrix of a given order. |
| | + | *In <math>EYE(Number)</math>,<math>Number</math> 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: |
| | + | <math>I_1=[1]</math>, |
| | + | <math>I_2 =\begin{bmatrix} |
| | + | 1 & 0 \\ |
| | + | 0 & 1 |
| | + | \end{bmatrix}</math>, |
| | + | <math>I_3= \begin{bmatrix} |
| | + | 1 & 0 & 0 \\ |
| | + | 0 & 1 & 0 \\ |
| | + | 0 & 0 & 1 |
| | + | \end{bmatrix}</math>...... |
| | + | <math>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}</math> |