Question

The rank of the matrix $\left[\begin{array}{cccc}1& 2& 3& 0\\ 2& 4& 3& 2\\ 3& 2& 1& 3\\ 6& 2& 7& 5\end{array}\right]$

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

The correct option is D 4

Given, $A=\left[\begin{array}{cccc}1& 2& 3& 0\\ 2& 4& 3& 2\\ 3& 2& 1& 3\\ 6& 2& 7& 5\end{array}\right]$
Here,$|A|=-52-14+24=-42\ne 0$
Therefore, rank of $A=4$
Hence, option 'D' is correct.