Question

If the rank of the matrix $\left[\begin{array}{ccc}4& 2& 1-x\\ 5& k& 1\\ 6& 3& 1+x\end{array}\right]$ is $2$, then

• A. $k=\frac{5}{2},x=\frac{1}{5}$
• B. $k=\frac{5}{2},x\ne \frac{1}{5}$
• C. $k=\frac{1}{5},x=\frac{5}{2}$
• D. $k\ne \frac{5}{2},x=\frac{1}{5}$

Answer 1

The correct option is A $k=\frac{5}{2},x=\frac{1}{5}$