Q1. - Algebra 2

Question

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

Step-by-Step Solution

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 1 ­- 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.

Step 2 ­- 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 .

Step 3 ­- Write the 4 × 4 identity matrix.

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