Question

Find the rank of the matrix $\left[\begin{array}{ccc}1&2&3\\2&3&4\\0&1&2\end{array}\right]$

Answer 1

Answer:

3

Step-by-step explanation:

Answer 2

Answer:

Rank of matrix:2

Step-by-step explanation:

Find the rank of the matrix  

$\left[\begin{array}{ccc}1&2&3\\2&3&4\\0&1&2\end{array}\right]$

reduce$A_{21}$ to zero,by

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

now it can not be reduced further.

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