Question

Find the rank of the matrix $\left[\begin{array}{ccc}1&2&6\\2&4&3\end{array}\right]$

Answer 1

Answer:

Matrix rank is Two.

Step-by-step explanation:

To find the rank of the given matrix  

$\left[\begin{array}{ccc}1&2&6\\2&4&3\end{array}\right]$

try to eliminate $A_{21},A_{22}$ element by elemantary row operation

$R_{2} \:->\:R_{2}-2R_{1}\\\\ \left[\begin{array}{ccc}1&2&6\\0&0&-9\end{array}\right]$

if we want to reduce it further,or try to reduce $A_{23}$ to zero,but it cannot be .

so, rank of the given matrix is two,as number of linearly independent rows are two.