Question

If determinant of matrix $\left|\begin{array}{ccc}a& b& c\\ d& e& f\\ g& h& i\end{array}\right|$ is A , then determinant of $\left|\begin{array}{ccc}a& d& g\\ b& e& h\\ c& f& i\end{array}\right|$ is -A.

• A. True
• B. False

Answer 1

The correct option is B

False

If we clearly see that second matrix is the transpose of the first one. And we already know that determinant of the transpose of a matrix is same as the original one. So if determinant of the original one is A then the determinant of the second one will be A as well and not –A.

So the correct answer is false.