Question

Find the rank of the matrix $\left[\begin{array}{ccc}1&0&0\\0&0&1\\0&1&0\end{array}\right]$

Answer 1

Answer:

Rank of matrix :3

Step-by-step explanation:

To find the rank of the matrix  $\left[\begin{array}{ccc}1&0&0\\0&0&1\\0&1&0\end{array}\right]$

swap the second and third row,

$R_{2}\:\:<=>\:\:R_{3} \\\\ \left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]$

it cannot be reduced further,so rank of the given matrix is three,as number of linearly independent rows are three.