Question

Write the $\mathbf{4}\mathbf{\times }\mathbf{4}$ identity matrix.

Short answer

The $4\times 4$ identity matrix is:$\left[\begin{array}{cccc}1& 0& 0& 0\\ 0& 1& 0& 0\\ 0& 0& 1& 0\\ 0& 0& 0& 1\end{array}\right]$

Step-by-step solution

­- Description of step.

An identity matrix is a matrix which has entries in all diagonal elements as 1 and 0 in the non-diagonal elements.

­- Description of step.

As, a $4\times 4$ identity matrix is to be constructed that implies a matrix having four rows and 4 columns and having all diagonal elements as 1 and non-diagonal elements as 0 .

­- Write the 4×4  identity matrix.

The $4\times 4$ identity matrix is:$\left[\begin{array}{cccc}1& 0& 0& 0\\ 0& 1& 0& 0\\ 0& 0& 1& 0\\ 0& 0& 0& 1\end{array}\right]$