Consider the following statements:
1. the matrix \(\left[ {\begin{array}{*{20}{c}} 1&2&1\\ a&{2a}&1\\ b&{2b}&1 \end{array}} \right]\) is singular.
2. The matrix \(\left[ {\begin{array}{*{20}{c}} c&2c&1\\ a&{2a}&1\\ b&{2b}&1 \end{array}} \right]\) is non-singular.
Which of the above statements is/are correct?
1
1 only
2
2 only
3
Both 1 and 2
4
Neither 1 nor 2