Question

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

Answer 1

Answer:

Rank of matrix is Two.

Step-by-step explanation:

To find the rank of the matrix,we must eliminate the rows as much as possible,or we can calculate linearly independent rows.

here in the given matrix  

$\left[\begin{array}{ccc}1&1\\1&0\end{array}\right]$

try to eliminate first column under the first element i.e. A21

by R2->R2-R1

$\left[\begin{array}{ccc}1&1\\0&-1\end{array}\right]$

here we cannot reduce it further.

So,the rank of given matrix is two.